TSTP Solution File: ALG104+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG104+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:43 EDT 2022
% Result : Theorem 3.72s 1.00s
% Output : Refutation 4.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 423
% Syntax : Number of formulae : 2383 ( 89 unt; 0 def)
% Number of atoms : 8107 (3544 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 10012 (4288 ~;4347 |;1043 &)
% ( 334 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 408 ( 406 usr; 407 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10046,plain,
$false,
inference(avatar_sat_refutation,[],[f794,f803,f820,f959,f994,f1004,f1128,f1243,f1248,f1253,f1262,f1271,f1290,f1299,f1308,f1323,f1328,f1369,f1395,f1405,f1411,f1438,f1455,f1474,f1483,f1488,f1515,f1540,f1559,f1572,f1585,f1599,f1604,f1618,f1744,f1759,f1764,f1780,f1789,f1790,f1799,f1810,f1819,f1824,f1841,f1884,f1897,f1906,f1923,f1946,f1965,f1999,f2009,f2018,f2033,f2044,f2054,f2064,f2069,f2074,f2079,f2085,f2111,f2112,f2135,f2148,f2154,f2160,f2179,f2212,f2217,f2255,f2260,f2298,f2303,f2312,f2317,f2333,f2338,f2348,f2364,f2374,f2385,f2390,f2395,f2405,f2410,f2412,f2422,f2424,f2429,f2439,f2480,f2490,f2495,f2500,f2512,f2527,f2546,f2560,f2571,f2577,f2605,f2621,f2636,f2645,f2660,f2665,f2677,f2683,f2695,f2706,f2707,f2736,f2745,f2754,f2772,f2782,f2783,f2788,f2798,f2799,f2821,f2826,f2831,f2846,f2853,f2858,f2863,f2866,f2877,f2883,f2884,f2889,f2894,f2908,f2923,f2925,f2937,f2947,f2952,f2954,f2959,f2964,f2980,f2985,f2986,f3002,f3007,f3029,f3034,f3040,f3041,f3046,f3053,f3059,f3069,f3078,f3085,f3090,f3095,f3100,f3101,f3103,f3104,f3109,f3114,f3119,f3125,f3137,f3138,f3143,f3155,f3160,f3210,f3221,f3226,f3232,f3237,f3240,f3247,f3263,f3268,f3269,f3304,f3316,f3333,f3339,f3344,f3351,f3354,f3360,f3403,f3405,f3408,f3410,f3415,f3422,f3423,f3428,f3430,f3434,f3437,f3441,f3455,f3460,f3463,f3472,f3481,f3489,f3502,f3523,f3539,f3559,f3567,f3583,f3589,f3597,f3620,f3636,f3640,f3644,f3647,f3649,f3655,f3660,f3673,f3676,f3681,f3685,f3690,f3693,f3701,f3704,f3709,f3744,f3750,f3757,f3769,f3800,f3814,f3817,f3833,f3838,f3849,f3876,f3895,f3912,f3922,f3932,f3935,f3948,f3953,f3965,f3974,f3985,f3993,f3996,f3999,f4008,f4013,f4019,f4030,f4045,f4055,f4058,f4069,f4091,f4101,f4111,f4115,f4120,f4126,f4143,f4153,f4156,f4178,f4189,f4192,f4197,f4202,f4236,f4249,f4259,f4264,f4268,f4271,f4274,f4321,f4333,f4341,f4350,f4359,f4381,f4393,f4395,f4399,f4404,f4417,f4425,f4428,f4452,f4454,f4471,f4474,f4480,f4492,f4516,f4525,f4538,f4562,f4576,f4589,f4593,f4638,f4662,f4684,f4690,f4718,f4745,f4754,f4770,f4776,f4777,f4783,f4788,f4791,f4810,f4829,f4832,f4862,f4876,f4888,f4891,f4892,f4897,f4965,f4977,f4980,f4991,f5023,f5041,f5054,f5106,f5129,f5140,f5166,f5195,f5246,f5266,f5290,f5305,f5311,f5477,f5478,f5479,f5482,f5485,f5493,f5514,f5521,f5535,f5553,f5581,f5590,f5601,f5606,f5613,f5619,f5628,f5741,f5783,f5797,f5823,f5842,f5862,f5863,f5866,f5876,f5883,f5916,f5935,f5946,f5955,f5958,f5972,f5991,f6162,f6165,f6169,f6181,f6190,f6202,f6210,f6214,f6224,f6231,f6243,f6247,f6253,f6294,f6334,f6355,f6372,f6389,f6398,f6423,f6435,f6449,f6451,f6460,f6483,f6495,f6497,f6503,f6509,f6518,f6521,f6537,f6549,f6554,f6560,f6574,f6578,f6583,f6730,f6749,f6764,f6787,f6792,f6806,f6824,f6827,f6835,f6848,f6853,f6859,f6875,f6892,f6903,f6927,f6948,f6964,f6971,f7045,f7165,f7180,f7212,f7216,f7219,f7227,f7234,f7270,f7278,f7279,f7360,f7376,f7379,f7432,f7435,f7533,f7543,f7549,f7566,f7595,f7599,f7625,f7794,f7804,f7814,f7827,f7840,f7905,f7981,f8000,f8005,f8011,f8020,f8028,f8030,f8042,f8049,f8060,f8079,f8102,f8105,f8109,f8114,f8121,f8146,f8170,f8247,f8322,f8325,f8330,f8373,f8389,f8402,f8419,f8569,f8611,f8645,f8648,f8661,f8674,f8686,f8701,f8864,f8879,f8938,f8987,f8995,f9000,f9021,f9032,f9048,f9056,f9068,f9074,f9082,f9087,f9097,f9106,f9112,f9131,f9136,f9153,f9209,f9229,f9304,f9307,f9350,f9360,f9364,f9380,f9391,f9397,f9402,f9420,f9424,f9523,f9531,f9541,f9550,f9554,f9564,f9569,f9577,f9585,f9596,f9603,f9610,f9618,f9636,f9646,f9664,f9735,f9838,f9871,f9879,f9890,f9921,f9939,f10039,f10043]) ).
fof(f10043,plain,
( spl72_269
| ~ spl72_346
| ~ spl72_460 ),
inference(avatar_contradiction_clause,[],[f10042]) ).
fof(f10042,plain,
( $false
| spl72_269
| ~ spl72_346
| ~ spl72_460 ),
inference(subsumption_resolution,[],[f10041,f1935]) ).
fof(f1935,plain,
( e10 != op1(e11,e12)
| spl72_269 ),
inference(avatar_component_clause,[],[f1934]) ).
fof(f1934,plain,
( spl72_269
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_269])]) ).
fof(f10041,plain,
( e10 = op1(e11,e12)
| ~ spl72_346
| ~ spl72_460 ),
inference(forward_demodulation,[],[f2922,f2311]) ).
fof(f2311,plain,
( e10 = op1(e12,e11)
| ~ spl72_346 ),
inference(avatar_component_clause,[],[f2309]) ).
fof(f2309,plain,
( spl72_346
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_346])]) ).
fof(f2922,plain,
( op1(e11,e12) = op1(e12,e11)
| ~ spl72_460 ),
inference(avatar_component_clause,[],[f2920]) ).
fof(f2920,plain,
( spl72_460
<=> op1(e11,e12) = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_460])]) ).
fof(f10039,plain,
( ~ spl72_178
| ~ spl72_386
| spl72_536 ),
inference(avatar_contradiction_clause,[],[f10038]) ).
fof(f10038,plain,
( $false
| ~ spl72_178
| ~ spl72_386
| spl72_536 ),
inference(subsumption_resolution,[],[f10037,f2536]) ).
fof(f2536,plain,
( e12 = op1(e12,e12)
| ~ spl72_386 ),
inference(avatar_component_clause,[],[f2534]) ).
fof(f2534,plain,
( spl72_386
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_386])]) ).
fof(f10037,plain,
( e12 != op1(e12,e12)
| ~ spl72_178
| spl72_536 ),
inference(superposition,[],[f3414,f1510]) ).
fof(f1510,plain,
( e12 = op1(e11,e13)
| ~ spl72_178 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f1508,plain,
( spl72_178
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_178])]) ).
fof(f3414,plain,
( e12 != op1(e12,op1(e11,e13))
| spl72_536 ),
inference(avatar_component_clause,[],[f3412]) ).
fof(f3412,plain,
( spl72_536
<=> e12 = op1(e12,op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_536])]) ).
fof(f9939,plain,
( ~ spl72_53
| ~ spl72_168
| spl72_403 ),
inference(avatar_contradiction_clause,[],[f9938]) ).
fof(f9938,plain,
( $false
| ~ spl72_53
| ~ spl72_168
| spl72_403 ),
inference(subsumption_resolution,[],[f9674,f2619]) ).
fof(f2619,plain,
( e22 != op2(e21,e21)
| spl72_403 ),
inference(avatar_component_clause,[],[f2618]) ).
fof(f2618,plain,
( spl72_403
<=> e22 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_403])]) ).
fof(f9674,plain,
( e22 = op2(e21,e21)
| ~ spl72_53
| ~ spl72_168 ),
inference(forward_demodulation,[],[f952,f1465]) ).
fof(f1465,plain,
( e21 = op2(e22,e21)
| ~ spl72_168 ),
inference(avatar_component_clause,[],[f1463]) ).
fof(f1463,plain,
( spl72_168
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_168])]) ).
fof(f952,plain,
( e22 = op2(op2(e22,e21),e21)
| ~ spl72_53 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f951,plain,
( spl72_53
<=> e22 = op2(op2(e22,e21),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_53])]) ).
fof(f9921,plain,
( spl72_59
| ~ spl72_335
| ~ spl72_481 ),
inference(avatar_split_clause,[],[f9920,f3037,f2257,f979]) ).
fof(f979,plain,
( spl72_59
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_59])]) ).
fof(f2257,plain,
( spl72_335
<=> e23 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_335])]) ).
fof(f3037,plain,
( spl72_481
<=> op2(e21,e20) = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_481])]) ).
fof(f9920,plain,
( e23 = op2(e21,e20)
| ~ spl72_335
| ~ spl72_481 ),
inference(forward_demodulation,[],[f3039,f2258]) ).
fof(f2258,plain,
( e23 = h1(e13)
| ~ spl72_335 ),
inference(avatar_component_clause,[],[f2257]) ).
fof(f3039,plain,
( op2(e21,e20) = h1(e13)
| ~ spl72_481 ),
inference(avatar_component_clause,[],[f3037]) ).
fof(f9890,plain,
( ~ spl72_191
| ~ spl72_335
| spl72_457 ),
inference(avatar_split_clause,[],[f9889,f2905,f2257,f1569]) ).
fof(f1569,plain,
( spl72_191
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_191])]) ).
fof(f2905,plain,
( spl72_457
<=> e20 = op2(h1(e13),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_457])]) ).
fof(f9889,plain,
( e20 != op2(e23,e21)
| ~ spl72_335
| spl72_457 ),
inference(forward_demodulation,[],[f2907,f2258]) ).
fof(f2907,plain,
( e20 != op2(h1(e13),e21)
| spl72_457 ),
inference(avatar_component_clause,[],[f2905]) ).
fof(f9879,plain,
( ~ spl72_530
| spl72_353 ),
inference(avatar_split_clause,[],[f9878,f2345,f3348]) ).
fof(f3348,plain,
( spl72_530
<=> e21 = op2(h2(e12),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_530])]) ).
fof(f2345,plain,
( spl72_353
<=> e21 = op2(op2(e21,e21),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_353])]) ).
fof(f9878,plain,
( e21 != op2(h2(e12),e21)
| spl72_353 ),
inference(forward_demodulation,[],[f2347,f168]) ).
fof(f168,plain,
op2(e21,e21) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( op2(e21,op2(e21,e21)) = h2(e11)
& h2(e13) = op2(e21,op2(e21,op2(e21,e21)))
& e21 = h2(e10)
& op2(e21,e21) = h2(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f2347,plain,
( e21 != op2(op2(e21,e21),e21)
| spl72_353 ),
inference(avatar_component_clause,[],[f2345]) ).
fof(f9871,plain,
( ~ spl72_124
| spl72_433
| ~ spl72_500 ),
inference(avatar_contradiction_clause,[],[f9870]) ).
fof(f9870,plain,
( $false
| ~ spl72_124
| spl72_433
| ~ spl72_500 ),
inference(subsumption_resolution,[],[f9869,f2770]) ).
fof(f2770,plain,
( e22 != op2(e23,e21)
| spl72_433 ),
inference(avatar_component_clause,[],[f2769]) ).
fof(f2769,plain,
( spl72_433
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_433])]) ).
fof(f9869,plain,
( e22 = op2(e23,e21)
| ~ spl72_124
| ~ spl72_500 ),
inference(superposition,[],[f3154,f1266]) ).
fof(f1266,plain,
( e23 = op2(e21,e22)
| ~ spl72_124 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f1264,plain,
( spl72_124
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_124])]) ).
fof(f3154,plain,
( e22 = op2(op2(e21,e22),e21)
| ~ spl72_500 ),
inference(avatar_component_clause,[],[f3152]) ).
fof(f3152,plain,
( spl72_500
<=> e22 = op2(op2(e21,e22),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_500])]) ).
fof(f9838,plain,
( ~ spl72_90
| ~ spl72_299
| spl72_449 ),
inference(avatar_contradiction_clause,[],[f9837]) ).
fof(f9837,plain,
( $false
| ~ spl72_90
| ~ spl72_299
| spl72_449 ),
inference(subsumption_resolution,[],[f9836,f1112]) ).
fof(f1112,plain,
( e10 = op1(e10,e13)
| ~ spl72_90 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1110,plain,
( spl72_90
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_90])]) ).
fof(f9836,plain,
( e10 != op1(e10,e13)
| ~ spl72_299
| spl72_449 ),
inference(superposition,[],[f2857,f2084]) ).
fof(f2084,plain,
( e13 = op1(e13,e13)
| ~ spl72_299 ),
inference(avatar_component_clause,[],[f2082]) ).
fof(f2082,plain,
( spl72_299
<=> e13 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_299])]) ).
fof(f2857,plain,
( e10 != op1(e10,op1(e13,e13))
| spl72_449 ),
inference(avatar_component_clause,[],[f2855]) ).
fof(f2855,plain,
( spl72_449
<=> e10 = op1(e10,op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_449])]) ).
fof(f9735,plain,
( ~ spl72_20
| ~ spl72_124
| spl72_295 ),
inference(avatar_contradiction_clause,[],[f9734]) ).
fof(f9734,plain,
( $false
| ~ spl72_20
| ~ spl72_124
| spl72_295 ),
inference(subsumption_resolution,[],[f9729,f811]) ).
fof(f811,plain,
( e20 = op2(e20,e23)
| ~ spl72_20 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f809,plain,
( spl72_20
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_20])]) ).
fof(f9729,plain,
( e20 != op2(e20,e23)
| ~ spl72_124
| spl72_295 ),
inference(superposition,[],[f2063,f1266]) ).
fof(f2063,plain,
( e20 != op2(e20,op2(e21,e22))
| spl72_295 ),
inference(avatar_component_clause,[],[f2061]) ).
fof(f2061,plain,
( spl72_295
<=> e20 = op2(e20,op2(e21,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_295])]) ).
fof(f9664,plain,
( ~ spl72_160
| ~ spl72_227
| spl72_364 ),
inference(avatar_contradiction_clause,[],[f9663]) ).
fof(f9663,plain,
( $false
| ~ spl72_160
| ~ spl72_227
| spl72_364 ),
inference(subsumption_resolution,[],[f9662,f1732]) ).
fof(f1732,plain,
( e22 = op2(e22,e23)
| ~ spl72_227 ),
inference(avatar_component_clause,[],[f1730]) ).
fof(f1730,plain,
( spl72_227
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_227])]) ).
fof(f9662,plain,
( e22 != op2(e22,e23)
| ~ spl72_160
| spl72_364 ),
inference(forward_demodulation,[],[f2403,f1428]) ).
fof(f1428,plain,
( e22 = op2(e23,e22)
| ~ spl72_160 ),
inference(avatar_component_clause,[],[f1426]) ).
fof(f1426,plain,
( spl72_160
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_160])]) ).
fof(f2403,plain,
( op2(e22,e23) != op2(e23,e22)
| spl72_364 ),
inference(avatar_component_clause,[],[f2402]) ).
fof(f2402,plain,
( spl72_364
<=> op2(e22,e23) = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_364])]) ).
fof(f9646,plain,
( ~ spl72_59
| spl72_102
| ~ spl72_121
| ~ spl72_165
| ~ spl72_335 ),
inference(avatar_split_clause,[],[f9645,f2257,f1448,f1250,f1170,f979]) ).
fof(f1170,plain,
( spl72_102
<=> h1(op1(e11,e10)) = op2(e21,h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_102])]) ).
fof(f1250,plain,
( spl72_121
<=> e20 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_121])]) ).
fof(f1448,plain,
( spl72_165
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_165])]) ).
fof(f9645,plain,
( e23 != op2(e21,e20)
| spl72_102
| ~ spl72_121
| ~ spl72_165
| ~ spl72_335 ),
inference(forward_demodulation,[],[f9644,f2258]) ).
fof(f9644,plain,
( op2(e21,e20) != h1(e13)
| spl72_102
| ~ spl72_121
| ~ spl72_165 ),
inference(forward_demodulation,[],[f9643,f1450]) ).
fof(f1450,plain,
( e13 = op1(e11,e10)
| ~ spl72_165 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f9643,plain,
( op2(e21,e20) != h1(op1(e11,e10))
| spl72_102
| ~ spl72_121 ),
inference(forward_demodulation,[],[f1172,f1251]) ).
fof(f1251,plain,
( e20 = h1(e10)
| ~ spl72_121 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f1172,plain,
( h1(op1(e11,e10)) != op2(e21,h1(e10))
| spl72_102 ),
inference(avatar_component_clause,[],[f1170]) ).
fof(f9636,plain,
( ~ spl72_59
| ~ spl72_236
| spl72_518 ),
inference(avatar_split_clause,[],[f9635,f3260,f1777,f979]) ).
fof(f1777,plain,
( spl72_236
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_236])]) ).
fof(f3260,plain,
( spl72_518
<=> e23 = op2(op2(e23,e20),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_518])]) ).
fof(f9635,plain,
( e23 != op2(e21,e20)
| ~ spl72_236
| spl72_518 ),
inference(forward_demodulation,[],[f3262,f1779]) ).
fof(f1779,plain,
( e21 = op2(e23,e20)
| ~ spl72_236 ),
inference(avatar_component_clause,[],[f1777]) ).
fof(f3262,plain,
( e23 != op2(op2(e23,e20),e20)
| spl72_518 ),
inference(avatar_component_clause,[],[f3260]) ).
fof(f9618,plain,
( ~ spl72_152
| ~ spl72_259
| ~ spl72_335
| spl72_506 ),
inference(avatar_contradiction_clause,[],[f9617]) ).
fof(f9617,plain,
( $false
| ~ spl72_152
| ~ spl72_259
| ~ spl72_335
| spl72_506 ),
inference(subsumption_resolution,[],[f9616,f1390]) ).
fof(f1390,plain,
( e23 = op2(e22,e22)
| ~ spl72_152 ),
inference(avatar_component_clause,[],[f1388]) ).
fof(f1388,plain,
( spl72_152
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_152])]) ).
fof(f9616,plain,
( e23 != op2(e22,e22)
| ~ spl72_259
| ~ spl72_335
| spl72_506 ),
inference(forward_demodulation,[],[f9615,f2258]) ).
fof(f9615,plain,
( op2(e22,e22) != h1(e13)
| ~ spl72_259
| spl72_506 ),
inference(forward_demodulation,[],[f3197,f1892]) ).
fof(f1892,plain,
( e13 = op1(e12,e12)
| ~ spl72_259 ),
inference(avatar_component_clause,[],[f1890]) ).
fof(f1890,plain,
( spl72_259
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_259])]) ).
fof(f3197,plain,
( op2(e22,e22) != h1(op1(e12,e12))
| spl72_506 ),
inference(avatar_component_clause,[],[f3195]) ).
fof(f3195,plain,
( spl72_506
<=> op2(e22,e22) = h1(op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_506])]) ).
fof(f9610,plain,
( ~ spl72_176
| ~ spl72_227
| ~ spl72_335
| spl72_507 ),
inference(avatar_contradiction_clause,[],[f9609]) ).
fof(f9609,plain,
( $false
| ~ spl72_176
| ~ spl72_227
| ~ spl72_335
| spl72_507 ),
inference(subsumption_resolution,[],[f9608,f1732]) ).
fof(f9608,plain,
( e22 != op2(e22,e23)
| ~ spl72_176
| ~ spl72_335
| spl72_507 ),
inference(forward_demodulation,[],[f9607,f2349]) ).
fof(f2349,plain,
e22 = h1(e12),
inference(forward_demodulation,[],[f542,f728]) ).
fof(f728,plain,
op2(e20,e20) = e22,
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e21 = op2(e20,op2(e20,e20))
& op2(e20,e20) = e22
& e23 = op2(e20,op2(e20,op2(e20,e20))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f542,plain,
op2(e20,e20) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( op2(e20,op2(e20,e20)) = h1(e11)
& e20 = h1(e10)
& op2(e20,e20) = h1(e12)
& op2(e20,op2(e20,op2(e20,e20))) = h1(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f9607,plain,
( op2(e22,e23) != h1(e12)
| ~ spl72_176
| ~ spl72_335
| spl72_507 ),
inference(forward_demodulation,[],[f9606,f1502]) ).
fof(f1502,plain,
( e12 = op1(e12,e13)
| ~ spl72_176 ),
inference(avatar_component_clause,[],[f1500]) ).
fof(f1500,plain,
( spl72_176
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_176])]) ).
fof(f9606,plain,
( op2(e22,e23) != h1(op1(e12,e13))
| ~ spl72_335
| spl72_507 ),
inference(forward_demodulation,[],[f3201,f2258]) ).
fof(f3201,plain,
( h1(op1(e12,e13)) != op2(e22,h1(e13))
| spl72_507 ),
inference(avatar_component_clause,[],[f3199]) ).
fof(f3199,plain,
( spl72_507
<=> h1(op1(e12,e13)) = op2(e22,h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_507])]) ).
fof(f9603,plain,
( ~ spl72_194
| ~ spl72_426
| spl72_509 ),
inference(avatar_contradiction_clause,[],[f9602]) ).
fof(f9602,plain,
( $false
| ~ spl72_194
| ~ spl72_426
| spl72_509 ),
inference(subsumption_resolution,[],[f9601,f2740]) ).
fof(f2740,plain,
( e22 = op2(e21,e22)
| ~ spl72_426 ),
inference(avatar_component_clause,[],[f2738]) ).
fof(f2738,plain,
( spl72_426
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_426])]) ).
fof(f9601,plain,
( e22 != op2(e21,e22)
| ~ spl72_194
| spl72_509 ),
inference(forward_demodulation,[],[f9600,f2349]) ).
fof(f9600,plain,
( op2(e21,e22) != h1(e12)
| ~ spl72_194
| spl72_509 ),
inference(forward_demodulation,[],[f3209,f1584]) ).
fof(f1584,plain,
( e12 = op1(e11,e12)
| ~ spl72_194 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f1582,plain,
( spl72_194
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_194])]) ).
fof(f3209,plain,
( op2(e21,e22) != h1(op1(e11,e12))
| spl72_509 ),
inference(avatar_component_clause,[],[f3207]) ).
fof(f3207,plain,
( spl72_509
<=> op2(e21,e22) = h1(op1(e11,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_509])]) ).
fof(f9596,plain,
( ~ spl72_121
| ~ spl72_159
| ~ spl72_335
| spl72_503
| ~ spl72_512 ),
inference(avatar_contradiction_clause,[],[f9595]) ).
fof(f9595,plain,
( $false
| ~ spl72_121
| ~ spl72_159
| ~ spl72_335
| spl72_503
| ~ spl72_512 ),
inference(subsumption_resolution,[],[f9594,f1424]) ).
fof(f1424,plain,
( e20 = op2(e23,e22)
| ~ spl72_159 ),
inference(avatar_component_clause,[],[f1422]) ).
fof(f1422,plain,
( spl72_159
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_159])]) ).
fof(f9594,plain,
( e20 != op2(e23,e22)
| ~ spl72_121
| ~ spl72_335
| spl72_503
| ~ spl72_512 ),
inference(forward_demodulation,[],[f9593,f1251]) ).
fof(f9593,plain,
( op2(e23,e22) != h1(e10)
| ~ spl72_335
| spl72_503
| ~ spl72_512 ),
inference(forward_demodulation,[],[f9592,f3225]) ).
fof(f3225,plain,
( e10 = op1(e13,e12)
| ~ spl72_512 ),
inference(avatar_component_clause,[],[f3223]) ).
fof(f3223,plain,
( spl72_512
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_512])]) ).
fof(f9592,plain,
( op2(e23,e22) != h1(op1(e13,e12))
| ~ spl72_335
| spl72_503 ),
inference(forward_demodulation,[],[f3185,f2258]) ).
fof(f3185,plain,
( h1(op1(e13,e12)) != op2(h1(e13),e22)
| spl72_503 ),
inference(avatar_component_clause,[],[f3183]) ).
fof(f3183,plain,
( spl72_503
<=> h1(op1(e13,e12)) = op2(h1(e13),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_503])]) ).
fof(f9585,plain,
( ~ spl72_121
| ~ spl72_229
| ~ spl72_470
| spl72_502 ),
inference(avatar_contradiction_clause,[],[f9584]) ).
fof(f9584,plain,
( $false
| ~ spl72_121
| ~ spl72_229
| ~ spl72_470
| spl72_502 ),
inference(subsumption_resolution,[],[f9583,f1743]) ).
fof(f1743,plain,
( e20 = op2(e22,e20)
| ~ spl72_229 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f1741,plain,
( spl72_229
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_229])]) ).
fof(f9583,plain,
( e20 != op2(e22,e20)
| ~ spl72_121
| ~ spl72_470
| spl72_502 ),
inference(forward_demodulation,[],[f9582,f1251]) ).
fof(f9582,plain,
( op2(e22,e20) != h1(e10)
| ~ spl72_121
| ~ spl72_470
| spl72_502 ),
inference(forward_demodulation,[],[f9581,f2979]) ).
fof(f2979,plain,
( e10 = op1(e12,e10)
| ~ spl72_470 ),
inference(avatar_component_clause,[],[f2977]) ).
fof(f2977,plain,
( spl72_470
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_470])]) ).
fof(f9581,plain,
( op2(e22,e20) != h1(op1(e12,e10))
| ~ spl72_121
| spl72_502 ),
inference(forward_demodulation,[],[f3181,f1251]) ).
fof(f3181,plain,
( h1(op1(e12,e10)) != op2(e22,h1(e10))
| spl72_502 ),
inference(avatar_component_clause,[],[f3179]) ).
fof(f3179,plain,
( spl72_502
<=> h1(op1(e12,e10)) = op2(e22,h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_502])]) ).
fof(f9577,plain,
( spl72_113
| ~ spl72_299
| ~ spl72_335
| ~ spl72_407 ),
inference(avatar_contradiction_clause,[],[f9576]) ).
fof(f9576,plain,
( $false
| spl72_113
| ~ spl72_299
| ~ spl72_335
| ~ spl72_407 ),
inference(subsumption_resolution,[],[f9575,f2640]) ).
fof(f2640,plain,
( e23 = op2(e23,e23)
| ~ spl72_407 ),
inference(avatar_component_clause,[],[f2638]) ).
fof(f2638,plain,
( spl72_407
<=> e23 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_407])]) ).
fof(f9575,plain,
( e23 != op2(e23,e23)
| spl72_113
| ~ spl72_299
| ~ spl72_335 ),
inference(forward_demodulation,[],[f9574,f2258]) ).
fof(f9574,plain,
( op2(e23,e23) != h1(e13)
| spl72_113
| ~ spl72_299
| ~ spl72_335 ),
inference(forward_demodulation,[],[f9573,f2084]) ).
fof(f9573,plain,
( op2(e23,e23) != h1(op1(e13,e13))
| spl72_113
| ~ spl72_335 ),
inference(forward_demodulation,[],[f1216,f2258]) ).
fof(f1216,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl72_113 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f1214,plain,
( spl72_113
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_113])]) ).
fof(f9569,plain,
( spl72_108
| ~ spl72_335
| ~ spl72_429
| ~ spl72_433 ),
inference(avatar_contradiction_clause,[],[f9568]) ).
fof(f9568,plain,
( $false
| spl72_108
| ~ spl72_335
| ~ spl72_429
| ~ spl72_433 ),
inference(subsumption_resolution,[],[f9567,f2771]) ).
fof(f2771,plain,
( e22 = op2(e23,e21)
| ~ spl72_433 ),
inference(avatar_component_clause,[],[f2769]) ).
fof(f9567,plain,
( e22 != op2(e23,e21)
| spl72_108
| ~ spl72_335
| ~ spl72_429 ),
inference(forward_demodulation,[],[f9566,f2349]) ).
fof(f9566,plain,
( op2(e23,e21) != h1(e12)
| spl72_108
| ~ spl72_335
| ~ spl72_429 ),
inference(forward_demodulation,[],[f9565,f2753]) ).
fof(f2753,plain,
( e12 = op1(e13,e11)
| ~ spl72_429 ),
inference(avatar_component_clause,[],[f2751]) ).
fof(f2751,plain,
( spl72_429
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_429])]) ).
fof(f9565,plain,
( op2(e23,e21) != h1(op1(e13,e11))
| spl72_108
| ~ spl72_335 ),
inference(forward_demodulation,[],[f1196,f2258]) ).
fof(f1196,plain,
( h1(op1(e13,e11)) != op2(h1(e13),e21)
| spl72_108 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f1194,plain,
( spl72_108
<=> h1(op1(e13,e11)) = op2(h1(e13),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_108])]) ).
fof(f9564,plain,
( spl72_107
| ~ spl72_121
| ~ spl72_397 ),
inference(avatar_contradiction_clause,[],[f9563]) ).
fof(f9563,plain,
( $false
| spl72_107
| ~ spl72_121
| ~ spl72_397 ),
inference(subsumption_resolution,[],[f9562,f728]) ).
fof(f9562,plain,
( op2(e20,e20) != e22
| spl72_107
| ~ spl72_121
| ~ spl72_397 ),
inference(forward_demodulation,[],[f9561,f2349]) ).
fof(f9561,plain,
( op2(e20,e20) != h1(e12)
| spl72_107
| ~ spl72_121
| ~ spl72_397 ),
inference(forward_demodulation,[],[f9560,f2591]) ).
fof(f2591,plain,
( op1(e10,e10) = e12
| ~ spl72_397 ),
inference(avatar_component_clause,[],[f2589]) ).
fof(f2589,plain,
( spl72_397
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_397])]) ).
fof(f9560,plain,
( op2(e20,e20) != h1(op1(e10,e10))
| spl72_107
| ~ spl72_121 ),
inference(forward_demodulation,[],[f1192,f1251]) ).
fof(f1192,plain,
( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| spl72_107 ),
inference(avatar_component_clause,[],[f1190]) ).
fof(f1190,plain,
( spl72_107
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_107])]) ).
fof(f9554,plain,
( spl72_106
| ~ spl72_121
| ~ spl72_187 ),
inference(avatar_contradiction_clause,[],[f9553]) ).
fof(f9553,plain,
( $false
| spl72_106
| ~ spl72_121
| ~ spl72_187 ),
inference(subsumption_resolution,[],[f9552,f925]) ).
fof(f925,plain,
op2(e20,e21) = h1(e13),
inference(forward_demodulation,[],[f541,f729]) ).
fof(f729,plain,
e21 = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[],[f13]) ).
fof(f541,plain,
op2(e20,op2(e20,op2(e20,e20))) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f9552,plain,
( op2(e20,e21) != h1(e13)
| spl72_106
| ~ spl72_121
| ~ spl72_187 ),
inference(forward_demodulation,[],[f9551,f1554]) ).
fof(f1554,plain,
( e13 = op1(e10,e11)
| ~ spl72_187 ),
inference(avatar_component_clause,[],[f1552]) ).
fof(f1552,plain,
( spl72_187
<=> e13 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_187])]) ).
fof(f9551,plain,
( op2(e20,e21) != h1(op1(e10,e11))
| spl72_106
| ~ spl72_121 ),
inference(forward_demodulation,[],[f1188,f1251]) ).
fof(f1188,plain,
( h1(op1(e10,e11)) != op2(h1(e10),e21)
| spl72_106 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1186,plain,
( spl72_106
<=> h1(op1(e10,e11)) = op2(h1(e10),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_106])]) ).
fof(f9550,plain,
( ~ spl72_49
| spl72_105
| ~ spl72_335
| ~ spl72_396 ),
inference(avatar_contradiction_clause,[],[f9549]) ).
fof(f9549,plain,
( $false
| ~ spl72_49
| spl72_105
| ~ spl72_335
| ~ spl72_396 ),
inference(subsumption_resolution,[],[f9548,f934]) ).
fof(f934,plain,
( e21 = op2(e21,e23)
| ~ spl72_49 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f932,plain,
( spl72_49
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_49])]) ).
fof(f9548,plain,
( e21 != op2(e21,e23)
| spl72_105
| ~ spl72_335
| ~ spl72_396 ),
inference(forward_demodulation,[],[f9547,f926]) ).
fof(f926,plain,
e21 = h1(e11),
inference(forward_demodulation,[],[f544,f729]) ).
fof(f544,plain,
op2(e20,op2(e20,e20)) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f9547,plain,
( op2(e21,e23) != h1(e11)
| spl72_105
| ~ spl72_335
| ~ spl72_396 ),
inference(forward_demodulation,[],[f9546,f2586]) ).
fof(f2586,plain,
( e11 = op1(e11,e13)
| ~ spl72_396 ),
inference(avatar_component_clause,[],[f2584]) ).
fof(f2584,plain,
( spl72_396
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_396])]) ).
fof(f9546,plain,
( op2(e21,e23) != h1(op1(e11,e13))
| spl72_105
| ~ spl72_335 ),
inference(forward_demodulation,[],[f1184,f2258]) ).
fof(f1184,plain,
( h1(op1(e11,e13)) != op2(e21,h1(e13))
| spl72_105 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f1182,plain,
( spl72_105
<=> h1(op1(e11,e13)) = op2(e21,h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_105])]) ).
fof(f9541,plain,
( ~ spl72_20
| ~ spl72_90
| spl72_101
| ~ spl72_121
| ~ spl72_335 ),
inference(avatar_contradiction_clause,[],[f9540]) ).
fof(f9540,plain,
( $false
| ~ spl72_20
| ~ spl72_90
| spl72_101
| ~ spl72_121
| ~ spl72_335 ),
inference(subsumption_resolution,[],[f9539,f811]) ).
fof(f9539,plain,
( e20 != op2(e20,e23)
| ~ spl72_90
| spl72_101
| ~ spl72_121
| ~ spl72_335 ),
inference(forward_demodulation,[],[f9538,f1251]) ).
fof(f9538,plain,
( op2(e20,e23) != h1(e10)
| ~ spl72_90
| spl72_101
| ~ spl72_121
| ~ spl72_335 ),
inference(forward_demodulation,[],[f9537,f1112]) ).
fof(f9537,plain,
( op2(e20,e23) != h1(op1(e10,e13))
| spl72_101
| ~ spl72_121
| ~ spl72_335 ),
inference(forward_demodulation,[],[f9536,f1251]) ).
fof(f9536,plain,
( h1(op1(e10,e13)) != op2(h1(e10),e23)
| spl72_101
| ~ spl72_335 ),
inference(forward_demodulation,[],[f1168,f2258]) ).
fof(f1168,plain,
( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| spl72_101 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f1166,plain,
( spl72_101
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_101])]) ).
fof(f9531,plain,
( spl72_100
| ~ spl72_121
| ~ spl72_236
| ~ spl72_335
| ~ spl72_390 ),
inference(avatar_contradiction_clause,[],[f9530]) ).
fof(f9530,plain,
( $false
| spl72_100
| ~ spl72_121
| ~ spl72_236
| ~ spl72_335
| ~ spl72_390 ),
inference(subsumption_resolution,[],[f9529,f1779]) ).
fof(f9529,plain,
( e21 != op2(e23,e20)
| spl72_100
| ~ spl72_121
| ~ spl72_335
| ~ spl72_390 ),
inference(forward_demodulation,[],[f9528,f926]) ).
fof(f9528,plain,
( op2(e23,e20) != h1(e11)
| spl72_100
| ~ spl72_121
| ~ spl72_335
| ~ spl72_390 ),
inference(forward_demodulation,[],[f9527,f2555]) ).
fof(f2555,plain,
( e11 = op1(e13,e10)
| ~ spl72_390 ),
inference(avatar_component_clause,[],[f2553]) ).
fof(f2553,plain,
( spl72_390
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_390])]) ).
fof(f9527,plain,
( op2(e23,e20) != h1(op1(e13,e10))
| spl72_100
| ~ spl72_121
| ~ spl72_335 ),
inference(forward_demodulation,[],[f9526,f2258]) ).
fof(f9526,plain,
( h1(op1(e13,e10)) != op2(h1(e13),e20)
| spl72_100
| ~ spl72_121 ),
inference(forward_demodulation,[],[f1164,f1251]) ).
fof(f1164,plain,
( h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| spl72_100 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f1162,plain,
( spl72_100
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_100])]) ).
fof(f9523,plain,
( ~ spl72_168
| ~ spl72_263
| spl72_504 ),
inference(avatar_contradiction_clause,[],[f9522]) ).
fof(f9522,plain,
( $false
| ~ spl72_168
| ~ spl72_263
| spl72_504 ),
inference(subsumption_resolution,[],[f9521,f926]) ).
fof(f9521,plain,
( e21 != h1(e11)
| ~ spl72_168
| ~ spl72_263
| spl72_504 ),
inference(superposition,[],[f8954,f1910]) ).
fof(f1910,plain,
( e11 = op1(e12,e11)
| ~ spl72_263 ),
inference(avatar_component_clause,[],[f1908]) ).
fof(f1908,plain,
( spl72_263
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_263])]) ).
fof(f8954,plain,
( e21 != h1(op1(e12,e11))
| ~ spl72_168
| spl72_504 ),
inference(forward_demodulation,[],[f3189,f1465]) ).
fof(f3189,plain,
( op2(e22,e21) != h1(op1(e12,e11))
| spl72_504 ),
inference(avatar_component_clause,[],[f3187]) ).
fof(f3187,plain,
( spl72_504
<=> op2(e22,e21) = h1(op1(e12,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_504])]) ).
fof(f9424,plain,
( ~ spl72_386
| spl72_297
| ~ spl72_429 ),
inference(avatar_split_clause,[],[f9423,f2751,f2071,f2534]) ).
fof(f2071,plain,
( spl72_297
<=> e12 = op1(e12,op1(e13,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_297])]) ).
fof(f9423,plain,
( e12 != op1(e12,e12)
| spl72_297
| ~ spl72_429 ),
inference(forward_demodulation,[],[f2073,f2753]) ).
fof(f2073,plain,
( e12 != op1(e12,op1(e13,e11))
| spl72_297 ),
inference(avatar_component_clause,[],[f2071]) ).
fof(f9420,plain,
( ~ spl72_386
| ~ spl72_397
| spl72_513 ),
inference(avatar_split_clause,[],[f9419,f3229,f2589,f2534]) ).
fof(f3229,plain,
( spl72_513
<=> e12 = op1(e12,op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_513])]) ).
fof(f9419,plain,
( e12 != op1(e12,e12)
| ~ spl72_397
| spl72_513 ),
inference(forward_demodulation,[],[f3231,f2591]) ).
fof(f3231,plain,
( e12 != op1(e12,op1(e10,e10))
| spl72_513 ),
inference(avatar_component_clause,[],[f3229]) ).
fof(f9402,plain,
( ~ spl72_258
| ~ spl72_397
| spl72_519 ),
inference(avatar_split_clause,[],[f9335,f3265,f2589,f1886]) ).
fof(f1886,plain,
( spl72_258
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_258])]) ).
fof(f3265,plain,
( spl72_519
<=> e13 = op1(e13,op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_519])]) ).
fof(f9335,plain,
( e13 != op1(e13,e12)
| ~ spl72_397
| spl72_519 ),
inference(forward_demodulation,[],[f3267,f2591]) ).
fof(f3267,plain,
( e13 != op1(e13,op1(e10,e10))
| spl72_519 ),
inference(avatar_component_clause,[],[f3265]) ).
fof(f9397,plain,
( ~ spl72_428
| ~ spl72_194
| spl72_460 ),
inference(avatar_split_clause,[],[f9396,f2920,f1582,f2747]) ).
fof(f2747,plain,
( spl72_428
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_428])]) ).
fof(f9396,plain,
( e12 != op1(e12,e11)
| ~ spl72_194
| spl72_460 ),
inference(forward_demodulation,[],[f2921,f1584]) ).
fof(f2921,plain,
( op1(e11,e12) != op1(e12,e11)
| spl72_460 ),
inference(avatar_component_clause,[],[f2920]) ).
fof(f9391,plain,
( ~ spl72_259
| ~ spl72_386 ),
inference(avatar_contradiction_clause,[],[f9390]) ).
fof(f9390,plain,
( $false
| ~ spl72_259
| ~ spl72_386 ),
inference(subsumption_resolution,[],[f9389,f344]) ).
fof(f344,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e10 != e13
& e10 != e12
& e10 != e11
& e11 != e12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f9389,plain,
( e12 = e13
| ~ spl72_259
| ~ spl72_386 ),
inference(forward_demodulation,[],[f1892,f2536]) ).
fof(f9380,plain,
( spl72_165
| ~ spl72_187
| ~ spl72_394 ),
inference(avatar_split_clause,[],[f9379,f2574,f1552,f1448]) ).
fof(f2574,plain,
( spl72_394
<=> op1(e10,e11) = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_394])]) ).
fof(f9379,plain,
( e13 = op1(e11,e10)
| ~ spl72_187
| ~ spl72_394 ),
inference(forward_demodulation,[],[f2576,f1554]) ).
fof(f2576,plain,
( op1(e10,e11) = op1(e11,e10)
| ~ spl72_394 ),
inference(avatar_component_clause,[],[f2574]) ).
fof(f9364,plain,
( spl72_132
| ~ spl72_178
| ~ spl72_266 ),
inference(avatar_contradiction_clause,[],[f9363]) ).
fof(f9363,plain,
( $false
| spl72_132
| ~ spl72_178
| ~ spl72_266 ),
inference(subsumption_resolution,[],[f9362,f1510]) ).
fof(f9362,plain,
( e12 != op1(e11,e13)
| spl72_132
| ~ spl72_266 ),
inference(forward_demodulation,[],[f1303,f1922]) ).
fof(f1922,plain,
( e11 = op1(e12,e13)
| ~ spl72_266 ),
inference(avatar_component_clause,[],[f1920]) ).
fof(f1920,plain,
( spl72_266
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_266])]) ).
fof(f1303,plain,
( e12 != op1(op1(e12,e13),e13)
| spl72_132 ),
inference(avatar_component_clause,[],[f1301]) ).
fof(f1301,plain,
( spl72_132
<=> e12 = op1(op1(e12,e13),e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_132])]) ).
fof(f9360,plain,
( ~ spl72_178
| ~ spl72_260
| spl72_388 ),
inference(avatar_contradiction_clause,[],[f9359]) ).
fof(f9359,plain,
( $false
| ~ spl72_178
| ~ spl72_260
| spl72_388 ),
inference(subsumption_resolution,[],[f9358,f1510]) ).
fof(f9358,plain,
( e12 != op1(e11,e13)
| ~ spl72_260
| spl72_388 ),
inference(forward_demodulation,[],[f2545,f1896]) ).
fof(f1896,plain,
( e13 = op1(e11,e12)
| ~ spl72_260 ),
inference(avatar_component_clause,[],[f1894]) ).
fof(f1894,plain,
( spl72_260
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_260])]) ).
fof(f2545,plain,
( e12 != op1(e11,op1(e11,e12))
| spl72_388 ),
inference(avatar_component_clause,[],[f2543]) ).
fof(f2543,plain,
( spl72_388
<=> e12 = op1(e11,op1(e11,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_388])]) ).
fof(f9350,plain,
( ~ spl72_165
| ~ spl72_390
| spl72_538 ),
inference(avatar_contradiction_clause,[],[f9349]) ).
fof(f9349,plain,
( $false
| ~ spl72_165
| ~ spl72_390
| spl72_538 ),
inference(subsumption_resolution,[],[f9348,f2555]) ).
fof(f9348,plain,
( e11 != op1(e13,e10)
| ~ spl72_165
| spl72_538 ),
inference(superposition,[],[f3427,f1450]) ).
fof(f3427,plain,
( e11 != op1(op1(e11,e10),e10)
| spl72_538 ),
inference(avatar_component_clause,[],[f3425]) ).
fof(f3425,plain,
( spl72_538
<=> e11 = op1(op1(e11,e10),e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_538])]) ).
fof(f9307,plain,
( ~ spl72_203
| ~ spl72_254
| spl72_430 ),
inference(avatar_split_clause,[],[f9205,f2756,f1867,f1624]) ).
fof(f1624,plain,
( spl72_203
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_203])]) ).
fof(f1867,plain,
( spl72_254
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_254])]) ).
fof(f2756,plain,
( spl72_430
<=> e13 = op1(e13,op1(e10,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_430])]) ).
fof(f9205,plain,
( e13 != op1(e13,e11)
| ~ spl72_254
| spl72_430 ),
inference(forward_demodulation,[],[f2758,f1869]) ).
fof(f1869,plain,
( e11 = op1(e10,e12)
| ~ spl72_254 ),
inference(avatar_component_clause,[],[f1867]) ).
fof(f2758,plain,
( e13 != op1(e13,op1(e10,e12))
| spl72_430 ),
inference(avatar_component_clause,[],[f2756]) ).
fof(f9304,plain,
( ~ spl72_346
| spl72_367
| ~ spl72_391 ),
inference(avatar_contradiction_clause,[],[f9303]) ).
fof(f9303,plain,
( $false
| ~ spl72_346
| spl72_367
| ~ spl72_391 ),
inference(subsumption_resolution,[],[f9302,f2559]) ).
fof(f2559,plain,
( e11 = op1(e11,e10)
| ~ spl72_391 ),
inference(avatar_component_clause,[],[f2557]) ).
fof(f2557,plain,
( spl72_391
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_391])]) ).
fof(f9302,plain,
( e11 != op1(e11,e10)
| ~ spl72_346
| spl72_367 ),
inference(superposition,[],[f2421,f2311]) ).
fof(f2421,plain,
( e11 != op1(e11,op1(e12,e11))
| spl72_367 ),
inference(avatar_component_clause,[],[f2419]) ).
fof(f2419,plain,
( spl72_367
<=> e11 = op1(e11,op1(e12,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_367])]) ).
fof(f9229,plain,
( ~ spl72_90
| ~ spl72_391
| spl72_474 ),
inference(avatar_contradiction_clause,[],[f9228]) ).
fof(f9228,plain,
( $false
| ~ spl72_90
| ~ spl72_391
| spl72_474 ),
inference(subsumption_resolution,[],[f9226,f2559]) ).
fof(f9226,plain,
( e11 != op1(e11,e10)
| ~ spl72_90
| spl72_474 ),
inference(superposition,[],[f3001,f1112]) ).
fof(f3001,plain,
( e11 != op1(e11,op1(e10,e13))
| spl72_474 ),
inference(avatar_component_clause,[],[f2999]) ).
fof(f2999,plain,
( spl72_474
<=> e11 = op1(e11,op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_474])]) ).
fof(f9209,plain,
( ~ spl72_269
| ~ spl72_351
| spl72_422 ),
inference(avatar_contradiction_clause,[],[f9208]) ).
fof(f9208,plain,
( $false
| ~ spl72_269
| ~ spl72_351
| spl72_422 ),
inference(subsumption_resolution,[],[f9207,f2719]) ).
fof(f2719,plain,
( e12 != op1(e10,e11)
| spl72_422 ),
inference(avatar_component_clause,[],[f2718]) ).
fof(f2718,plain,
( spl72_422
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_422])]) ).
fof(f9207,plain,
( e12 = op1(e10,e11)
| ~ spl72_269
| ~ spl72_351 ),
inference(forward_demodulation,[],[f2337,f1936]) ).
fof(f1936,plain,
( e10 = op1(e11,e12)
| ~ spl72_269 ),
inference(avatar_component_clause,[],[f1934]) ).
fof(f2337,plain,
( e12 = op1(op1(e11,e12),e11)
| ~ spl72_351 ),
inference(avatar_component_clause,[],[f2335]) ).
fof(f2335,plain,
( spl72_351
<=> e12 = op1(op1(e11,e12),e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_351])]) ).
fof(f9153,plain,
( ~ spl72_203
| ~ spl72_440 ),
inference(avatar_contradiction_clause,[],[f9152]) ).
fof(f9152,plain,
( $false
| ~ spl72_203
| ~ spl72_440 ),
inference(subsumption_resolution,[],[f9151,f343]) ).
fof(f343,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f9151,plain,
( e11 = e13
| ~ spl72_203
| ~ spl72_440 ),
inference(forward_demodulation,[],[f1626,f2810]) ).
fof(f2810,plain,
( e11 = op1(e13,e11)
| ~ spl72_440 ),
inference(avatar_component_clause,[],[f2808]) ).
fof(f2808,plain,
( spl72_440
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_440])]) ).
fof(f1626,plain,
( e13 = op1(e13,e11)
| ~ spl72_203 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f9136,plain,
( ~ spl72_163
| ~ spl72_259 ),
inference(avatar_split_clause,[],[f7700,f1890,f1440]) ).
fof(f1440,plain,
( spl72_163
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_163])]) ).
fof(f7700,plain,
( e13 != op1(e12,e10)
| ~ spl72_259 ),
inference(superposition,[],[f265,f1892]) ).
fof(f265,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e11,e11) != op1(e11,e13)
& op1(e10,e12) != op1(e12,e12)
& op1(e11,e13) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e12)
& op1(e12,e12) != op1(e12,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e11,e12) != op1(e13,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e12,e11) != op1(e12,e12)
& op1(e10,e10) != op1(e10,e12)
& op1(e11,e11) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e11)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e13,e12) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e10) != op1(e13,e10)
& op1(e10,e13) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e10) != op1(e12,e10)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e11) != op1(e12,e11)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e12) != op1(e11,e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f9131,plain,
( ~ spl72_187
| ~ spl72_379
| spl72_390 ),
inference(avatar_contradiction_clause,[],[f9130]) ).
fof(f9130,plain,
( $false
| ~ spl72_187
| ~ spl72_379
| spl72_390 ),
inference(subsumption_resolution,[],[f9129,f2554]) ).
fof(f2554,plain,
( e11 != op1(e13,e10)
| spl72_390 ),
inference(avatar_component_clause,[],[f2553]) ).
fof(f9129,plain,
( e11 = op1(e13,e10)
| ~ spl72_187
| ~ spl72_379 ),
inference(forward_demodulation,[],[f2499,f1554]) ).
fof(f2499,plain,
( e11 = op1(op1(e10,e11),e10)
| ~ spl72_379 ),
inference(avatar_component_clause,[],[f2497]) ).
fof(f2497,plain,
( spl72_379
<=> e11 = op1(op1(e10,e11),e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_379])]) ).
fof(f9112,plain,
( ~ spl72_318
| ~ spl72_391
| spl72_531 ),
inference(avatar_contradiction_clause,[],[f9111]) ).
fof(f9111,plain,
( $false
| ~ spl72_318
| ~ spl72_391
| spl72_531 ),
inference(subsumption_resolution,[],[f9065,f2178]) ).
fof(f2178,plain,
( e10 = op1(e11,e11)
| ~ spl72_318 ),
inference(avatar_component_clause,[],[f2176]) ).
fof(f2176,plain,
( spl72_318
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_318])]) ).
fof(f9065,plain,
( e10 != op1(e11,e11)
| ~ spl72_391
| spl72_531 ),
inference(forward_demodulation,[],[f3359,f2559]) ).
fof(f3359,plain,
( e10 != op1(e11,op1(e11,e10))
| spl72_531 ),
inference(avatar_component_clause,[],[f3357]) ).
fof(f3357,plain,
( spl72_531
<=> e10 = op1(e11,op1(e11,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_531])]) ).
fof(f9106,plain,
( spl72_260
| ~ spl72_266
| ~ spl72_438 ),
inference(avatar_contradiction_clause,[],[f9105]) ).
fof(f9105,plain,
( $false
| spl72_260
| ~ spl72_266
| ~ spl72_438 ),
inference(subsumption_resolution,[],[f9104,f1895]) ).
fof(f1895,plain,
( e13 != op1(e11,e12)
| spl72_260 ),
inference(avatar_component_clause,[],[f1894]) ).
fof(f9104,plain,
( e13 = op1(e11,e12)
| ~ spl72_266
| ~ spl72_438 ),
inference(forward_demodulation,[],[f2797,f1922]) ).
fof(f2797,plain,
( e13 = op1(op1(e12,e13),e12)
| ~ spl72_438 ),
inference(avatar_component_clause,[],[f2795]) ).
fof(f2795,plain,
( spl72_438
<=> e13 = op1(op1(e12,e13),e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_438])]) ).
fof(f9097,plain,
( ~ spl72_121
| ~ spl72_283
| ~ spl72_318
| spl72_508 ),
inference(avatar_contradiction_clause,[],[f9096]) ).
fof(f9096,plain,
( $false
| ~ spl72_121
| ~ spl72_283
| ~ spl72_318
| spl72_508 ),
inference(subsumption_resolution,[],[f9095,f1251]) ).
fof(f9095,plain,
( e20 != h1(e10)
| ~ spl72_283
| ~ spl72_318
| spl72_508 ),
inference(forward_demodulation,[],[f9094,f2002]) ).
fof(f2002,plain,
( e20 = h2(e12)
| ~ spl72_283 ),
inference(avatar_component_clause,[],[f2001]) ).
fof(f2001,plain,
( spl72_283
<=> e20 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_283])]) ).
fof(f9094,plain,
( h1(e10) != h2(e12)
| ~ spl72_318
| spl72_508 ),
inference(forward_demodulation,[],[f3205,f2178]) ).
fof(f3205,plain,
( h2(e12) != h1(op1(e11,e11))
| spl72_508 ),
inference(avatar_component_clause,[],[f3203]) ).
fof(f3203,plain,
( spl72_508
<=> h2(e12) = h1(op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_508])]) ).
fof(f9087,plain,
( spl72_177
| ~ spl72_285
| ~ spl72_512 ),
inference(avatar_contradiction_clause,[],[f9086]) ).
fof(f9086,plain,
( $false
| spl72_177
| ~ spl72_285
| ~ spl72_512 ),
inference(subsumption_resolution,[],[f9085,f1505]) ).
fof(f1505,plain,
( e12 != op1(e10,e13)
| spl72_177 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f1504,plain,
( spl72_177
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_177])]) ).
fof(f9085,plain,
( e12 = op1(e10,e13)
| ~ spl72_285
| ~ spl72_512 ),
inference(forward_demodulation,[],[f2013,f3225]) ).
fof(f2013,plain,
( e12 = op1(op1(e13,e12),e13)
| ~ spl72_285 ),
inference(avatar_component_clause,[],[f2011]) ).
fof(f2011,plain,
( spl72_285
<=> e12 = op1(op1(e13,e12),e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_285])]) ).
fof(f9082,plain,
( spl72_318
| ~ spl72_239
| ~ spl72_391 ),
inference(avatar_split_clause,[],[f9081,f2557,f1792,f2176]) ).
fof(f1792,plain,
( spl72_239
<=> e10 = op1(op1(e11,e10),e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_239])]) ).
fof(f9081,plain,
( e10 = op1(e11,e11)
| ~ spl72_239
| ~ spl72_391 ),
inference(forward_demodulation,[],[f1794,f2559]) ).
fof(f1794,plain,
( e10 = op1(op1(e11,e10),e11)
| ~ spl72_239 ),
inference(avatar_component_clause,[],[f1792]) ).
fof(f9074,plain,
( ~ spl72_345
| ~ spl72_187
| spl72_454 ),
inference(avatar_split_clause,[],[f9073,f2886,f1552,f2305]) ).
fof(f2305,plain,
( spl72_345
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_345])]) ).
fof(f2886,plain,
( spl72_454
<=> e10 = op1(op1(e10,e11),e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_454])]) ).
fof(f9073,plain,
( e10 != op1(e13,e11)
| ~ spl72_187
| spl72_454 ),
inference(forward_demodulation,[],[f2888,f1554]) ).
fof(f2888,plain,
( e10 != op1(op1(e10,e11),e11)
| spl72_454 ),
inference(avatar_component_clause,[],[f2886]) ).
fof(f9068,plain,
( ~ spl72_309
| spl72_425 ),
inference(avatar_contradiction_clause,[],[f9067]) ).
fof(f9067,plain,
( $false
| ~ spl72_309
| spl72_425 ),
inference(subsumption_resolution,[],[f9066,f2134]) ).
fof(f2134,plain,
( e13 = op1(e11,e13)
| ~ spl72_309 ),
inference(avatar_component_clause,[],[f2132]) ).
fof(f2132,plain,
( spl72_309
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_309])]) ).
fof(f9066,plain,
( e13 != op1(e11,e13)
| ~ spl72_309
| spl72_425 ),
inference(forward_demodulation,[],[f2735,f2134]) ).
fof(f2735,plain,
( e13 != op1(e11,op1(e11,e13))
| spl72_425 ),
inference(avatar_component_clause,[],[f2733]) ).
fof(f2733,plain,
( spl72_425
<=> e13 = op1(e11,op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_425])]) ).
fof(f9056,plain,
( ~ spl72_187
| ~ spl72_345
| spl72_411 ),
inference(avatar_contradiction_clause,[],[f9055]) ).
fof(f9055,plain,
( $false
| ~ spl72_187
| ~ spl72_345
| spl72_411 ),
inference(subsumption_resolution,[],[f9054,f1554]) ).
fof(f9054,plain,
( e13 != op1(e10,e11)
| ~ spl72_345
| spl72_411 ),
inference(forward_demodulation,[],[f2659,f2307]) ).
fof(f2307,plain,
( e10 = op1(e13,e11)
| ~ spl72_345 ),
inference(avatar_component_clause,[],[f2305]) ).
fof(f2659,plain,
( e13 != op1(op1(e13,e11),e11)
| spl72_411 ),
inference(avatar_component_clause,[],[f2657]) ).
fof(f2657,plain,
( spl72_411
<=> e13 = op1(op1(e13,e11),e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_411])]) ).
fof(f9048,plain,
( ~ spl72_386
| ~ spl72_444 ),
inference(avatar_contradiction_clause,[],[f9047]) ).
fof(f9047,plain,
( $false
| ~ spl72_386
| ~ spl72_444 ),
inference(subsumption_resolution,[],[f7736,f2536]) ).
fof(f7736,plain,
( e12 != op1(e12,e12)
| ~ spl72_444 ),
inference(superposition,[],[f284,f2830]) ).
fof(f2830,plain,
( e12 = op1(e13,e12)
| ~ spl72_444 ),
inference(avatar_component_clause,[],[f2828]) ).
fof(f2828,plain,
( spl72_444
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_444])]) ).
fof(f284,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f9032,plain,
( ~ spl72_391
| ~ spl72_269
| spl72_419 ),
inference(avatar_split_clause,[],[f7714,f2703,f1934,f2557]) ).
fof(f2703,plain,
( spl72_419
<=> e11 = op1(e11,op1(e11,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_419])]) ).
fof(f7714,plain,
( e11 != op1(e11,e10)
| ~ spl72_269
| spl72_419 ),
inference(superposition,[],[f2705,f1936]) ).
fof(f2705,plain,
( e11 != op1(e11,op1(e11,e12))
| spl72_419 ),
inference(avatar_component_clause,[],[f2703]) ).
fof(f9021,plain,
( spl72_282
| ~ spl72_470 ),
inference(avatar_contradiction_clause,[],[f9020]) ).
fof(f9020,plain,
( $false
| spl72_282
| ~ spl72_470 ),
inference(subsumption_resolution,[],[f9019,f2979]) ).
fof(f9019,plain,
( e10 != op1(e12,e10)
| spl72_282
| ~ spl72_470 ),
inference(forward_demodulation,[],[f1998,f2979]) ).
fof(f1998,plain,
( e10 != op1(e12,op1(e12,e10))
| spl72_282 ),
inference(avatar_component_clause,[],[f1996]) ).
fof(f1996,plain,
( spl72_282
<=> e10 = op1(e12,op1(e12,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_282])]) ).
fof(f9000,plain,
( ~ spl72_269
| ~ spl72_346
| spl72_460 ),
inference(avatar_contradiction_clause,[],[f8999]) ).
fof(f8999,plain,
( $false
| ~ spl72_269
| ~ spl72_346
| spl72_460 ),
inference(subsumption_resolution,[],[f8998,f1936]) ).
fof(f8998,plain,
( e10 != op1(e11,e12)
| ~ spl72_346
| spl72_460 ),
inference(forward_demodulation,[],[f2921,f2311]) ).
fof(f8995,plain,
( ~ spl72_440
| spl72_529 ),
inference(avatar_contradiction_clause,[],[f8994]) ).
fof(f8994,plain,
( $false
| ~ spl72_440
| spl72_529 ),
inference(subsumption_resolution,[],[f8993,f2810]) ).
fof(f8993,plain,
( e11 != op1(e13,e11)
| ~ spl72_440
| spl72_529 ),
inference(forward_demodulation,[],[f3343,f2810]) ).
fof(f3343,plain,
( e11 != op1(e13,op1(e13,e11))
| spl72_529 ),
inference(avatar_component_clause,[],[f3341]) ).
fof(f3341,plain,
( spl72_529
<=> e11 = op1(e13,op1(e13,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_529])]) ).
fof(f8987,plain,
( spl72_122
| ~ spl72_176
| ~ spl72_259 ),
inference(avatar_contradiction_clause,[],[f8986]) ).
fof(f8986,plain,
( $false
| spl72_122
| ~ spl72_176
| ~ spl72_259 ),
inference(subsumption_resolution,[],[f7752,f1502]) ).
fof(f7752,plain,
( e12 != op1(e12,e13)
| spl72_122
| ~ spl72_259 ),
inference(superposition,[],[f1257,f1892]) ).
fof(f1257,plain,
( e12 != op1(e12,op1(e12,e12))
| spl72_122 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f1255,plain,
( spl72_122
<=> e12 = op1(e12,op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_122])]) ).
fof(f8938,plain,
~ spl72_312,
inference(avatar_contradiction_clause,[],[f8937]) ).
fof(f8937,plain,
( $false
| ~ spl72_312 ),
inference(subsumption_resolution,[],[f8936,f342]) ).
fof(f342,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f8936,plain,
( e10 = e13
| ~ spl72_312 ),
inference(forward_demodulation,[],[f8931,f2147]) ).
fof(f2147,plain,
( e10 = op1(e10,e11)
| ~ spl72_312 ),
inference(avatar_component_clause,[],[f2145]) ).
fof(f2145,plain,
( spl72_312
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_312])]) ).
fof(f8931,plain,
e13 = op1(e10,e11),
inference(superposition,[],[f194,f192]) ).
fof(f192,plain,
e11 = op1(e10,op1(e10,e10)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e13 = op1(e10,op1(e10,op1(e10,e10)))
& op1(e10,e10) = e12
& e11 = op1(e10,op1(e10,e10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f194,plain,
e13 = op1(e10,op1(e10,op1(e10,e10))),
inference(cnf_transformation,[],[f12]) ).
fof(f8879,plain,
( ~ spl72_136
| ~ spl72_168
| spl72_298 ),
inference(avatar_contradiction_clause,[],[f8878]) ).
fof(f8878,plain,
( $false
| ~ spl72_136
| ~ spl72_168
| spl72_298 ),
inference(subsumption_resolution,[],[f8877,f2077]) ).
fof(f2077,plain,
( e21 != op2(e21,e22)
| spl72_298 ),
inference(avatar_component_clause,[],[f2076]) ).
fof(f2076,plain,
( spl72_298
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_298])]) ).
fof(f8877,plain,
( e21 = op2(e21,e22)
| ~ spl72_136
| ~ spl72_168 ),
inference(superposition,[],[f1322,f1465]) ).
fof(f1322,plain,
( e21 = op2(op2(e22,e21),e22)
| ~ spl72_136 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f1320,plain,
( spl72_136
<=> e21 = op2(op2(e22,e21),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_136])]) ).
fof(f8864,plain,
( ~ spl72_283
| ~ spl72_530 ),
inference(avatar_contradiction_clause,[],[f8863]) ).
fof(f8863,plain,
( $false
| ~ spl72_283
| ~ spl72_530 ),
inference(subsumption_resolution,[],[f8854,f545]) ).
fof(f545,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e20 != e23
& e22 != e23
& e20 != e22
& e20 != e21
& e21 != e22
& e21 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f8854,plain,
( e21 = e23
| ~ spl72_283
| ~ spl72_530 ),
inference(superposition,[],[f8705,f1119]) ).
fof(f1119,plain,
e23 = op2(e20,e21),
inference(forward_demodulation,[],[f727,f729]) ).
fof(f727,plain,
e23 = op2(e20,op2(e20,op2(e20,e20))),
inference(cnf_transformation,[],[f13]) ).
fof(f8705,plain,
( e21 = op2(e20,e21)
| ~ spl72_283
| ~ spl72_530 ),
inference(forward_demodulation,[],[f3350,f2002]) ).
fof(f3350,plain,
( e21 = op2(h2(e12),e21)
| ~ spl72_530 ),
inference(avatar_component_clause,[],[f3348]) ).
fof(f8701,plain,
( ~ spl72_135
| spl72_160
| ~ spl72_527 ),
inference(avatar_contradiction_clause,[],[f8700]) ).
fof(f8700,plain,
( $false
| ~ spl72_135
| spl72_160
| ~ spl72_527 ),
inference(subsumption_resolution,[],[f8699,f1427]) ).
fof(f1427,plain,
( e22 != op2(e23,e22)
| spl72_160 ),
inference(avatar_component_clause,[],[f1426]) ).
fof(f8699,plain,
( e22 = op2(e23,e22)
| ~ spl72_135
| ~ spl72_527 ),
inference(forward_demodulation,[],[f3331,f1316]) ).
fof(f1316,plain,
( e23 = h3(e12)
| ~ spl72_135 ),
inference(avatar_component_clause,[],[f1315]) ).
fof(f1315,plain,
( spl72_135
<=> e23 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_135])]) ).
fof(f3331,plain,
( e22 = op2(h3(e12),e22)
| ~ spl72_527 ),
inference(avatar_component_clause,[],[f3330]) ).
fof(f3330,plain,
( spl72_527
<=> e22 = op2(h3(e12),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_527])]) ).
fof(f8686,plain,
( spl72_236
| ~ spl72_156
| ~ spl72_335 ),
inference(avatar_split_clause,[],[f8685,f2257,f1408,f1777]) ).
fof(f1408,plain,
( spl72_156
<=> e21 = op2(h1(e13),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_156])]) ).
fof(f8685,plain,
( e21 = op2(e23,e20)
| ~ spl72_156
| ~ spl72_335 ),
inference(forward_demodulation,[],[f1410,f2258]) ).
fof(f1410,plain,
( e21 = op2(h1(e13),e20)
| ~ spl72_156 ),
inference(avatar_component_clause,[],[f1408]) ).
fof(f8674,plain,
( ~ spl72_234
| ~ spl72_20
| spl72_173 ),
inference(avatar_split_clause,[],[f8673,f1485,f809,f1769]) ).
fof(f1769,plain,
( spl72_234
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_234])]) ).
fof(f1485,plain,
( spl72_173
<=> e21 = op2(e21,op2(e20,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_173])]) ).
fof(f8673,plain,
( e21 != op2(e21,e20)
| ~ spl72_20
| spl72_173 ),
inference(forward_demodulation,[],[f1487,f811]) ).
fof(f1487,plain,
( e21 != op2(e21,op2(e20,e23))
| spl72_173 ),
inference(avatar_component_clause,[],[f1485]) ).
fof(f8661,plain,
( spl72_236
| ~ spl72_59
| ~ spl72_535 ),
inference(avatar_split_clause,[],[f8660,f3400,f979,f1777]) ).
fof(f3400,plain,
( spl72_535
<=> e21 = op2(op2(e21,e20),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_535])]) ).
fof(f8660,plain,
( e21 = op2(e23,e20)
| ~ spl72_59
| ~ spl72_535 ),
inference(forward_demodulation,[],[f3401,f981]) ).
fof(f981,plain,
( e23 = op2(e21,e20)
| ~ spl72_59 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f3401,plain,
( e21 = op2(op2(e21,e20),e20)
| ~ spl72_535 ),
inference(avatar_component_clause,[],[f3400]) ).
fof(f8648,plain,
( spl72_92
| ~ spl72_190
| ~ spl72_234 ),
inference(avatar_contradiction_clause,[],[f8647]) ).
fof(f8647,plain,
( $false
| spl72_92
| ~ spl72_190
| ~ spl72_234 ),
inference(subsumption_resolution,[],[f8646,f1771]) ).
fof(f1771,plain,
( e21 = op2(e21,e20)
| ~ spl72_234 ),
inference(avatar_component_clause,[],[f1769]) ).
fof(f8646,plain,
( e21 != op2(e21,e20)
| spl72_92
| ~ spl72_190 ),
inference(forward_demodulation,[],[f1123,f1567]) ).
fof(f1567,plain,
( e20 = op2(e23,e20)
| ~ spl72_190 ),
inference(avatar_component_clause,[],[f1565]) ).
fof(f1565,plain,
( spl72_190
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_190])]) ).
fof(f1123,plain,
( e21 != op2(e21,op2(e23,e20))
| spl72_92 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1121,plain,
( spl72_92
<=> e21 = op2(e21,op2(e23,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_92])]) ).
fof(f8645,plain,
( ~ spl72_234
| ~ spl72_237
| spl72_257 ),
inference(avatar_contradiction_clause,[],[f8644]) ).
fof(f8644,plain,
( $false
| ~ spl72_234
| ~ spl72_237
| spl72_257 ),
inference(subsumption_resolution,[],[f8643,f1771]) ).
fof(f8643,plain,
( e21 != op2(e21,e20)
| ~ spl72_237
| spl72_257 ),
inference(superposition,[],[f1883,f1784]) ).
fof(f1784,plain,
( e20 = op2(e21,e22)
| ~ spl72_237 ),
inference(avatar_component_clause,[],[f1782]) ).
fof(f1782,plain,
( spl72_237
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_237])]) ).
fof(f1883,plain,
( e21 != op2(e21,op2(e21,e22))
| spl72_257 ),
inference(avatar_component_clause,[],[f1881]) ).
fof(f1881,plain,
( spl72_257
<=> e21 = op2(e21,op2(e21,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_257])]) ).
fof(f8611,plain,
( ~ spl72_150
| ~ spl72_510
| spl72_527 ),
inference(avatar_contradiction_clause,[],[f8610]) ).
fof(f8610,plain,
( $false
| ~ spl72_150
| ~ spl72_510
| spl72_527 ),
inference(subsumption_resolution,[],[f8609,f1382]) ).
fof(f1382,plain,
( e22 = op2(e22,e22)
| ~ spl72_150 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f1380,plain,
( spl72_150
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_150])]) ).
fof(f8609,plain,
( e22 != op2(e22,e22)
| ~ spl72_510
| spl72_527 ),
inference(superposition,[],[f3332,f3213]) ).
fof(f3213,plain,
( e22 = h3(e12)
| ~ spl72_510 ),
inference(avatar_component_clause,[],[f3212]) ).
fof(f3212,plain,
( spl72_510
<=> e22 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_510])]) ).
fof(f3332,plain,
( e22 != op2(h3(e12),e22)
| spl72_527 ),
inference(avatar_component_clause,[],[f3330]) ).
fof(f8569,plain,
( ~ spl72_234
| ~ spl72_274
| spl72_498 ),
inference(avatar_contradiction_clause,[],[f8568]) ).
fof(f8568,plain,
( $false
| ~ spl72_234
| ~ spl72_274
| spl72_498 ),
inference(subsumption_resolution,[],[f8565,f1771]) ).
fof(f8565,plain,
( e21 != op2(e21,e20)
| ~ spl72_274
| spl72_498 ),
inference(superposition,[],[f3142,f1959]) ).
fof(f1959,plain,
( e20 = op2(e22,e21)
| ~ spl72_274 ),
inference(avatar_component_clause,[],[f1957]) ).
fof(f1957,plain,
( spl72_274
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_274])]) ).
fof(f3142,plain,
( e21 != op2(e21,op2(e22,e21))
| spl72_498 ),
inference(avatar_component_clause,[],[f3140]) ).
fof(f3140,plain,
( spl72_498
<=> e21 = op2(e21,op2(e22,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_498])]) ).
fof(f8419,plain,
( ~ spl72_225
| ~ spl72_161
| spl72_364 ),
inference(avatar_split_clause,[],[f8418,f2402,f1430,f1722]) ).
fof(f1722,plain,
( spl72_225
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_225])]) ).
fof(f1430,plain,
( spl72_161
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_161])]) ).
fof(f8418,plain,
( e23 != op2(e22,e23)
| ~ spl72_161
| spl72_364 ),
inference(forward_demodulation,[],[f2403,f1432]) ).
fof(f1432,plain,
( e23 = op2(e23,e22)
| ~ spl72_161 ),
inference(avatar_component_clause,[],[f1430]) ).
fof(f8402,plain,
( ~ spl72_158
| ~ spl72_161 ),
inference(avatar_contradiction_clause,[],[f8401]) ).
fof(f8401,plain,
( $false
| ~ spl72_158
| ~ spl72_161 ),
inference(subsumption_resolution,[],[f8400,f545]) ).
fof(f8400,plain,
( e21 = e23
| ~ spl72_158
| ~ spl72_161 ),
inference(forward_demodulation,[],[f1432,f1420]) ).
fof(f1420,plain,
( e21 = op2(e23,e22)
| ~ spl72_158 ),
inference(avatar_component_clause,[],[f1418]) ).
fof(f1418,plain,
( spl72_158
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_158])]) ).
fof(f8389,plain,
( ~ spl72_51
| spl72_233
| ~ spl72_296 ),
inference(avatar_contradiction_clause,[],[f8388]) ).
fof(f8388,plain,
( $false
| ~ spl72_51
| spl72_233
| ~ spl72_296 ),
inference(subsumption_resolution,[],[f8387,f1762]) ).
fof(f1762,plain,
( e23 != op2(e22,e21)
| spl72_233 ),
inference(avatar_component_clause,[],[f1761]) ).
fof(f1761,plain,
( spl72_233
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_233])]) ).
fof(f8387,plain,
( e23 = op2(e22,e21)
| ~ spl72_51
| ~ spl72_296 ),
inference(forward_demodulation,[],[f2068,f942]) ).
fof(f942,plain,
( e22 = op2(e21,e23)
| ~ spl72_51 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f940,plain,
( spl72_51
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_51])]) ).
fof(f2068,plain,
( e23 = op2(op2(e21,e23),e21)
| ~ spl72_296 ),
inference(avatar_component_clause,[],[f2066]) ).
fof(f2066,plain,
( spl72_296
<=> e23 = op2(op2(e21,e23),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_296])]) ).
fof(f8373,plain,
( ~ spl72_121
| ~ spl72_128
| ~ spl72_254
| spl72_505 ),
inference(avatar_contradiction_clause,[],[f8372]) ).
fof(f8372,plain,
( $false
| ~ spl72_121
| ~ spl72_128
| ~ spl72_254
| spl72_505 ),
inference(subsumption_resolution,[],[f8371,f1284]) ).
fof(f1284,plain,
( e21 = op2(e20,e22)
| ~ spl72_128 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f1282,plain,
( spl72_128
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_128])]) ).
fof(f8371,plain,
( e21 != op2(e20,e22)
| ~ spl72_121
| ~ spl72_254
| spl72_505 ),
inference(forward_demodulation,[],[f8370,f926]) ).
fof(f8370,plain,
( op2(e20,e22) != h1(e11)
| ~ spl72_121
| ~ spl72_254
| spl72_505 ),
inference(forward_demodulation,[],[f8369,f1869]) ).
fof(f8369,plain,
( op2(e20,e22) != h1(op1(e10,e12))
| ~ spl72_121
| spl72_505 ),
inference(forward_demodulation,[],[f3193,f1251]) ).
fof(f3193,plain,
( h1(op1(e10,e12)) != op2(h1(e10),e22)
| spl72_505 ),
inference(avatar_component_clause,[],[f3191]) ).
fof(f3191,plain,
( spl72_505
<=> h1(op1(e10,e12)) = op2(h1(e10),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_505])]) ).
fof(f8330,plain,
( ~ spl72_162
| spl72_527 ),
inference(avatar_contradiction_clause,[],[f8329]) ).
fof(f8329,plain,
( $false
| ~ spl72_162
| spl72_527 ),
inference(subsumption_resolution,[],[f8328,f3332]) ).
fof(f8328,plain,
( e22 = op2(h3(e12),e22)
| ~ spl72_162 ),
inference(forward_demodulation,[],[f1437,f346]) ).
fof(f346,plain,
op2(e22,e22) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( op2(e22,op2(e22,e22)) = h3(e11)
& e22 = h3(e10)
& op2(e22,e22) = h3(e12)
& h3(e13) = op2(e22,op2(e22,op2(e22,e22))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f1437,plain,
( e22 = op2(op2(e22,e22),e22)
| ~ spl72_162 ),
inference(avatar_component_clause,[],[f1435]) ).
fof(f1435,plain,
( spl72_162
<=> e22 = op2(op2(e22,e22),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_162])]) ).
fof(f8325,plain,
( ~ spl72_229
| spl72_375 ),
inference(avatar_contradiction_clause,[],[f8324]) ).
fof(f8324,plain,
( $false
| ~ spl72_229
| spl72_375 ),
inference(subsumption_resolution,[],[f8323,f1743]) ).
fof(f8323,plain,
( e20 != op2(e22,e20)
| ~ spl72_229
| spl72_375 ),
inference(forward_demodulation,[],[f2479,f1743]) ).
fof(f2479,plain,
( e20 != op2(e22,op2(e22,e20))
| spl72_375 ),
inference(avatar_component_clause,[],[f2477]) ).
fof(f2477,plain,
( spl72_375
<=> e20 = op2(e22,op2(e22,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_375])]) ).
fof(f8322,plain,
( ~ spl72_51
| spl72_120
| ~ spl72_169 ),
inference(avatar_contradiction_clause,[],[f8321]) ).
fof(f8321,plain,
( $false
| ~ spl72_51
| spl72_120
| ~ spl72_169 ),
inference(subsumption_resolution,[],[f8320,f942]) ).
fof(f8320,plain,
( e22 != op2(e21,e23)
| spl72_120
| ~ spl72_169 ),
inference(superposition,[],[f1247,f1469]) ).
fof(f1469,plain,
( e21 = op2(e22,e23)
| ~ spl72_169 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f1467,plain,
( spl72_169
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_169])]) ).
fof(f1247,plain,
( e22 != op2(op2(e22,e23),e23)
| spl72_120 ),
inference(avatar_component_clause,[],[f1245]) ).
fof(f1245,plain,
( spl72_120
<=> e22 = op2(op2(e22,e23),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_120])]) ).
fof(f8247,plain,
( ~ spl72_128
| ~ spl72_153 ),
inference(avatar_contradiction_clause,[],[f8246]) ).
fof(f8246,plain,
( $false
| ~ spl72_128
| ~ spl72_153 ),
inference(subsumption_resolution,[],[f8239,f1284]) ).
fof(f8239,plain,
( e21 != op2(e20,e22)
| ~ spl72_153 ),
inference(superposition,[],[f387,f1394]) ).
fof(f1394,plain,
( e21 = op2(e22,e22)
| ~ spl72_153 ),
inference(avatar_component_clause,[],[f1392]) ).
fof(f1392,plain,
( spl72_153
<=> e21 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_153])]) ).
fof(f387,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e21,e20) != op2(e22,e20)
& op2(e23,e22) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e23,e21) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e20) != op2(e22,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e22)
& op2(e20,e21) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e23)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e21,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e21) != op2(e22,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e20,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e20,e20) != op2(e23,e20)
& op2(e23,e21) != op2(e23,e23)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f8170,plain,
( spl72_124
| ~ spl72_169
| ~ spl72_483 ),
inference(avatar_split_clause,[],[f8169,f3050,f1467,f1264]) ).
fof(f3050,plain,
( spl72_483
<=> e23 = op2(op2(e22,e23),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_483])]) ).
fof(f8169,plain,
( e23 = op2(e21,e22)
| ~ spl72_169
| ~ spl72_483 ),
inference(forward_demodulation,[],[f3052,f1469]) ).
fof(f3052,plain,
( e23 = op2(op2(e22,e23),e22)
| ~ spl72_483 ),
inference(avatar_component_clause,[],[f3050]) ).
fof(f8146,plain,
( ~ spl72_426
| spl72_475 ),
inference(avatar_contradiction_clause,[],[f8145]) ).
fof(f8145,plain,
( $false
| ~ spl72_426
| spl72_475 ),
inference(subsumption_resolution,[],[f8144,f2740]) ).
fof(f8144,plain,
( e22 != op2(e21,e22)
| ~ spl72_426
| spl72_475 ),
inference(forward_demodulation,[],[f3006,f2740]) ).
fof(f3006,plain,
( e22 != op2(e21,op2(e21,e22))
| spl72_475 ),
inference(avatar_component_clause,[],[f3004]) ).
fof(f3004,plain,
( spl72_475
<=> e22 = op2(e21,op2(e21,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_475])]) ).
fof(f8121,plain,
( ~ spl72_161
| spl72_225
| ~ spl72_364 ),
inference(avatar_contradiction_clause,[],[f8120]) ).
fof(f8120,plain,
( $false
| ~ spl72_161
| spl72_225
| ~ spl72_364 ),
inference(subsumption_resolution,[],[f8119,f1723]) ).
fof(f1723,plain,
( e23 != op2(e22,e23)
| spl72_225 ),
inference(avatar_component_clause,[],[f1722]) ).
fof(f8119,plain,
( e23 = op2(e22,e23)
| ~ spl72_161
| ~ spl72_364 ),
inference(forward_demodulation,[],[f2404,f1432]) ).
fof(f2404,plain,
( op2(e22,e23) = op2(e23,e22)
| ~ spl72_364 ),
inference(avatar_component_clause,[],[f2402]) ).
fof(f8114,plain,
( ~ spl72_161
| spl72_524 ),
inference(avatar_contradiction_clause,[],[f8113]) ).
fof(f8113,plain,
( $false
| ~ spl72_161
| spl72_524 ),
inference(subsumption_resolution,[],[f8112,f1432]) ).
fof(f8112,plain,
( e23 != op2(e23,e22)
| ~ spl72_161
| spl72_524 ),
inference(forward_demodulation,[],[f3315,f1432]) ).
fof(f3315,plain,
( e23 != op2(op2(e23,e22),e22)
| spl72_524 ),
inference(avatar_component_clause,[],[f3313]) ).
fof(f3313,plain,
( spl72_524
<=> e23 = op2(op2(e23,e22),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_524])]) ).
fof(f8109,plain,
( ~ spl72_162
| ~ spl72_416
| spl72_427 ),
inference(avatar_contradiction_clause,[],[f8108]) ).
fof(f8108,plain,
( $false
| ~ spl72_162
| ~ spl72_416
| spl72_427 ),
inference(subsumption_resolution,[],[f8107,f2743]) ).
fof(f2743,plain,
( e22 != op2(e20,e22)
| spl72_427 ),
inference(avatar_component_clause,[],[f2742]) ).
fof(f2742,plain,
( spl72_427
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_427])]) ).
fof(f8107,plain,
( e22 = op2(e20,e22)
| ~ spl72_162
| ~ spl72_416 ),
inference(forward_demodulation,[],[f8106,f2686]) ).
fof(f2686,plain,
( e20 = h3(e12)
| ~ spl72_416 ),
inference(avatar_component_clause,[],[f2685]) ).
fof(f2685,plain,
( spl72_416
<=> e20 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_416])]) ).
fof(f8106,plain,
( e22 = op2(h3(e12),e22)
| ~ spl72_162 ),
inference(forward_demodulation,[],[f1437,f346]) ).
fof(f8105,plain,
( spl72_184
| ~ spl72_191
| ~ spl72_236 ),
inference(avatar_contradiction_clause,[],[f8104]) ).
fof(f8104,plain,
( $false
| spl72_184
| ~ spl72_191
| ~ spl72_236 ),
inference(subsumption_resolution,[],[f8103,f1779]) ).
fof(f8103,plain,
( e21 != op2(e23,e20)
| spl72_184
| ~ spl72_191 ),
inference(forward_demodulation,[],[f1539,f1571]) ).
fof(f1571,plain,
( e20 = op2(e23,e21)
| ~ spl72_191 ),
inference(avatar_component_clause,[],[f1569]) ).
fof(f1539,plain,
( e21 != op2(e23,op2(e23,e21))
| spl72_184 ),
inference(avatar_component_clause,[],[f1537]) ).
fof(f1537,plain,
( spl72_184
<=> e21 = op2(e23,op2(e23,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_184])]) ).
fof(f8102,plain,
( ~ spl72_20
| ~ spl72_161
| spl72_362 ),
inference(avatar_contradiction_clause,[],[f8101]) ).
fof(f8101,plain,
( $false
| ~ spl72_20
| ~ spl72_161
| spl72_362 ),
inference(subsumption_resolution,[],[f8100,f811]) ).
fof(f8100,plain,
( e20 != op2(e20,e23)
| ~ spl72_161
| spl72_362 ),
inference(forward_demodulation,[],[f2394,f1432]) ).
fof(f2394,plain,
( e20 != op2(e20,op2(e23,e22))
| spl72_362 ),
inference(avatar_component_clause,[],[f2392]) ).
fof(f2392,plain,
( spl72_362
<=> e20 = op2(e20,op2(e23,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_362])]) ).
fof(f8079,plain,
( ~ spl72_197
| spl72_235
| ~ spl72_432 ),
inference(avatar_contradiction_clause,[],[f8078]) ).
fof(f8078,plain,
( $false
| ~ spl72_197
| spl72_235
| ~ spl72_432 ),
inference(subsumption_resolution,[],[f8077,f1774]) ).
fof(f1774,plain,
( e21 != e22
| spl72_235 ),
inference(avatar_component_clause,[],[f1773]) ).
fof(f1773,plain,
( spl72_235
<=> e21 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_235])]) ).
fof(f8077,plain,
( e21 = e22
| ~ spl72_197
| ~ spl72_432 ),
inference(forward_demodulation,[],[f2767,f1598]) ).
fof(f1598,plain,
( e21 = op2(e23,e23)
| ~ spl72_197 ),
inference(avatar_component_clause,[],[f1596]) ).
fof(f1596,plain,
( spl72_197
<=> e21 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_197])]) ).
fof(f2767,plain,
( e22 = op2(e23,e23)
| ~ spl72_432 ),
inference(avatar_component_clause,[],[f2765]) ).
fof(f2765,plain,
( spl72_432
<=> e22 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_432])]) ).
fof(f8060,plain,
( spl72_159
| ~ spl72_62
| ~ spl72_198 ),
inference(avatar_split_clause,[],[f7893,f1601,f991,f1422]) ).
fof(f991,plain,
( spl72_62
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_62])]) ).
fof(f1601,plain,
( spl72_198
<=> e20 = op2(op2(e22,e20),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_198])]) ).
fof(f7893,plain,
( e20 = op2(e23,e22)
| ~ spl72_62
| ~ spl72_198 ),
inference(forward_demodulation,[],[f1603,f993]) ).
fof(f993,plain,
( e23 = op2(e22,e20)
| ~ spl72_62 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f1603,plain,
( e20 = op2(op2(e22,e20),e22)
| ~ spl72_198 ),
inference(avatar_component_clause,[],[f1601]) ).
fof(f8049,plain,
( ~ spl72_408
| ~ spl72_433 ),
inference(avatar_contradiction_clause,[],[f8048]) ).
fof(f8048,plain,
( $false
| ~ spl72_408
| ~ spl72_433 ),
inference(subsumption_resolution,[],[f8047,f549]) ).
fof(f549,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f8047,plain,
( e22 = e23
| ~ spl72_408
| ~ spl72_433 ),
inference(forward_demodulation,[],[f2644,f2771]) ).
fof(f2644,plain,
( e23 = op2(e23,e21)
| ~ spl72_408 ),
inference(avatar_component_clause,[],[f2642]) ).
fof(f2642,plain,
( spl72_408
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_408])]) ).
fof(f8042,plain,
( spl72_169
| ~ spl72_370
| ~ spl72_433 ),
inference(avatar_split_clause,[],[f7970,f2769,f2436,f1467]) ).
fof(f2436,plain,
( spl72_370
<=> e21 = op2(op2(e23,e21),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_370])]) ).
fof(f7970,plain,
( e21 = op2(e22,e23)
| ~ spl72_370
| ~ spl72_433 ),
inference(forward_demodulation,[],[f2438,f2771]) ).
fof(f2438,plain,
( e21 = op2(op2(e23,e21),e23)
| ~ spl72_370 ),
inference(avatar_component_clause,[],[f2436]) ).
fof(f8030,plain,
( ~ spl72_124
| ~ spl72_135 ),
inference(avatar_split_clause,[],[f8029,f1315,f1264]) ).
fof(f8029,plain,
( e23 != op2(e21,e22)
| ~ spl72_135 ),
inference(forward_demodulation,[],[f5418,f1316]) ).
fof(f5418,plain,
op2(e21,e22) != h3(e12),
inference(superposition,[],[f349,f346]) ).
fof(f349,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f8028,plain,
( ~ spl72_159
| spl72_226
| ~ spl72_364 ),
inference(avatar_contradiction_clause,[],[f8027]) ).
fof(f8027,plain,
( $false
| ~ spl72_159
| spl72_226
| ~ spl72_364 ),
inference(subsumption_resolution,[],[f8026,f1727]) ).
fof(f1727,plain,
( e20 != op2(e22,e23)
| spl72_226 ),
inference(avatar_component_clause,[],[f1726]) ).
fof(f1726,plain,
( spl72_226
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_226])]) ).
fof(f8026,plain,
( e20 = op2(e22,e23)
| ~ spl72_159
| ~ spl72_364 ),
inference(forward_demodulation,[],[f2404,f1424]) ).
fof(f8020,plain,
( ~ spl72_62
| ~ spl72_135 ),
inference(avatar_contradiction_clause,[],[f8019]) ).
fof(f8019,plain,
( $false
| ~ spl72_62
| ~ spl72_135 ),
inference(subsumption_resolution,[],[f7888,f1316]) ).
fof(f7888,plain,
( e23 != h3(e12)
| ~ spl72_62 ),
inference(superposition,[],[f5441,f993]) ).
fof(f5441,plain,
op2(e22,e20) != h3(e12),
inference(superposition,[],[f371,f346]) ).
fof(f371,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f8011,plain,
( ~ spl72_17
| ~ spl72_62
| spl72_201 ),
inference(avatar_contradiction_clause,[],[f8010]) ).
fof(f8010,plain,
( $false
| ~ spl72_17
| ~ spl72_62
| spl72_201 ),
inference(subsumption_resolution,[],[f8009,f1616]) ).
fof(f1616,plain,
( e23 != op2(e20,e22)
| spl72_201 ),
inference(avatar_component_clause,[],[f1615]) ).
fof(f1615,plain,
( spl72_201
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_201])]) ).
fof(f8009,plain,
( e23 = op2(e20,e22)
| ~ spl72_17
| ~ spl72_62 ),
inference(forward_demodulation,[],[f798,f993]) ).
fof(f798,plain,
( op2(e20,e22) = op2(e22,e20)
| ~ spl72_17 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f796,plain,
( spl72_17
<=> op2(e20,e22) = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_17])]) ).
fof(f8005,plain,
( ~ spl72_150
| ~ spl72_433
| spl72_480 ),
inference(avatar_contradiction_clause,[],[f8004]) ).
fof(f8004,plain,
( $false
| ~ spl72_150
| ~ spl72_433
| spl72_480 ),
inference(subsumption_resolution,[],[f8003,f1382]) ).
fof(f8003,plain,
( e22 != op2(e22,e22)
| ~ spl72_433
| spl72_480 ),
inference(forward_demodulation,[],[f3033,f2771]) ).
fof(f3033,plain,
( e22 != op2(e22,op2(e23,e21))
| spl72_480 ),
inference(avatar_component_clause,[],[f3031]) ).
fof(f3031,plain,
( spl72_480
<=> e22 = op2(e22,op2(e23,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_480])]) ).
fof(f8000,plain,
( spl72_67
| ~ spl72_232 ),
inference(avatar_split_clause,[],[f7991,f1756,f1016]) ).
fof(f1016,plain,
( spl72_67
<=> e21 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_67])]) ).
fof(f1756,plain,
( spl72_232
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_232])]) ).
fof(f7991,plain,
( e21 = h2(e11)
| ~ spl72_232 ),
inference(forward_demodulation,[],[f7989,f1758]) ).
fof(f1758,plain,
( e21 = op2(e21,e21)
| ~ spl72_232 ),
inference(avatar_component_clause,[],[f1756]) ).
fof(f7989,plain,
( op2(e21,e21) = h2(e11)
| ~ spl72_232 ),
inference(superposition,[],[f171,f1758]) ).
fof(f171,plain,
op2(e21,op2(e21,e21)) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f7981,plain,
( ~ spl72_124
| ~ spl72_433
| spl72_500 ),
inference(avatar_contradiction_clause,[],[f7980]) ).
fof(f7980,plain,
( $false
| ~ spl72_124
| ~ spl72_433
| spl72_500 ),
inference(subsumption_resolution,[],[f7979,f2771]) ).
fof(f7979,plain,
( e22 != op2(e23,e21)
| ~ spl72_124
| spl72_500 ),
inference(superposition,[],[f3153,f1266]) ).
fof(f3153,plain,
( e22 != op2(op2(e21,e22),e21)
| spl72_500 ),
inference(avatar_component_clause,[],[f3152]) ).
fof(f7905,plain,
( ~ spl72_51
| ~ spl72_124
| spl72_475 ),
inference(avatar_contradiction_clause,[],[f7904]) ).
fof(f7904,plain,
( $false
| ~ spl72_51
| ~ spl72_124
| spl72_475 ),
inference(subsumption_resolution,[],[f7900,f942]) ).
fof(f7900,plain,
( e22 != op2(e21,e23)
| ~ spl72_124
| spl72_475 ),
inference(superposition,[],[f3006,f1266]) ).
fof(f7840,plain,
( ~ spl72_426
| ~ spl72_510 ),
inference(avatar_split_clause,[],[f7839,f3212,f2738]) ).
fof(f7839,plain,
( e22 != op2(e21,e22)
| ~ spl72_510 ),
inference(forward_demodulation,[],[f5418,f3213]) ).
fof(f7827,plain,
( ~ spl72_159
| spl72_201
| ~ spl72_524 ),
inference(avatar_contradiction_clause,[],[f7826]) ).
fof(f7826,plain,
( $false
| ~ spl72_159
| spl72_201
| ~ spl72_524 ),
inference(subsumption_resolution,[],[f7825,f1616]) ).
fof(f7825,plain,
( e23 = op2(e20,e22)
| ~ spl72_159
| ~ spl72_524 ),
inference(forward_demodulation,[],[f3314,f1424]) ).
fof(f3314,plain,
( e23 = op2(op2(e23,e22),e22)
| ~ spl72_524 ),
inference(avatar_component_clause,[],[f3313]) ).
fof(f7814,plain,
( ~ spl72_124
| ~ spl72_51
| spl72_245 ),
inference(avatar_split_clause,[],[f6608,f1821,f940,f1264]) ).
fof(f1821,plain,
( spl72_245
<=> e23 = op2(e21,op2(e21,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_245])]) ).
fof(f6608,plain,
( e23 != op2(e21,e22)
| ~ spl72_51
| spl72_245 ),
inference(forward_demodulation,[],[f1823,f942]) ).
fof(f1823,plain,
( e23 != op2(e21,op2(e21,e23))
| spl72_245 ),
inference(avatar_component_clause,[],[f1821]) ).
fof(f7804,plain,
( ~ spl72_59
| ~ spl72_236
| spl72_535 ),
inference(avatar_contradiction_clause,[],[f7803]) ).
fof(f7803,plain,
( $false
| ~ spl72_59
| ~ spl72_236
| spl72_535 ),
inference(subsumption_resolution,[],[f7802,f1779]) ).
fof(f7802,plain,
( e21 != op2(e23,e20)
| ~ spl72_59
| spl72_535 ),
inference(superposition,[],[f3402,f981]) ).
fof(f3402,plain,
( e21 != op2(op2(e21,e20),e20)
| spl72_535 ),
inference(avatar_component_clause,[],[f3400]) ).
fof(f7794,plain,
( ~ spl72_428
| spl72_493 ),
inference(avatar_contradiction_clause,[],[f7793]) ).
fof(f7793,plain,
( $false
| ~ spl72_428
| spl72_493 ),
inference(subsumption_resolution,[],[f7792,f2749]) ).
fof(f2749,plain,
( e12 = op1(e12,e11)
| ~ spl72_428 ),
inference(avatar_component_clause,[],[f2747]) ).
fof(f7792,plain,
( e12 != op1(e12,e11)
| ~ spl72_428
| spl72_493 ),
inference(superposition,[],[f3113,f2749]) ).
fof(f3113,plain,
( e12 != op1(op1(e12,e11),e11)
| spl72_493 ),
inference(avatar_component_clause,[],[f3111]) ).
fof(f3111,plain,
( spl72_493
<=> e12 = op1(op1(e12,e11),e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_493])]) ).
fof(f7625,plain,
( spl72_269
| ~ spl72_264
| ~ spl72_464 ),
inference(avatar_split_clause,[],[f7624,f2944,f1912,f1934]) ).
fof(f1912,plain,
( spl72_264
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_264])]) ).
fof(f2944,plain,
( spl72_464
<=> e10 = op1(op1(e12,e10),e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_464])]) ).
fof(f7624,plain,
( e10 = op1(e11,e12)
| ~ spl72_264
| ~ spl72_464 ),
inference(forward_demodulation,[],[f2946,f1914]) ).
fof(f1914,plain,
( e11 = op1(e12,e10)
| ~ spl72_264 ),
inference(avatar_component_clause,[],[f1912]) ).
fof(f2946,plain,
( e10 = op1(op1(e12,e10),e12)
| ~ spl72_464 ),
inference(avatar_component_clause,[],[f2944]) ).
fof(f7599,plain,
( ~ spl72_178
| ~ spl72_428
| ~ spl72_465 ),
inference(avatar_contradiction_clause,[],[f7598]) ).
fof(f7598,plain,
( $false
| ~ spl72_178
| ~ spl72_428
| ~ spl72_465 ),
inference(subsumption_resolution,[],[f7597,f344]) ).
fof(f7597,plain,
( e12 = e13
| ~ spl72_178
| ~ spl72_428
| ~ spl72_465 ),
inference(forward_demodulation,[],[f7596,f2749]) ).
fof(f7596,plain,
( e13 = op1(e12,e11)
| ~ spl72_178
| ~ spl72_465 ),
inference(forward_demodulation,[],[f2951,f1510]) ).
fof(f2951,plain,
( e13 = op1(op1(e11,e13),e11)
| ~ spl72_465 ),
inference(avatar_component_clause,[],[f2949]) ).
fof(f2949,plain,
( spl72_465
<=> e13 = op1(op1(e11,e13),e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_465])]) ).
fof(f7595,plain,
( ~ spl72_260
| ~ spl72_178
| spl72_425 ),
inference(avatar_split_clause,[],[f7332,f2733,f1508,f1894]) ).
fof(f7332,plain,
( e13 != op1(e11,e12)
| ~ spl72_178
| spl72_425 ),
inference(forward_demodulation,[],[f2735,f1510]) ).
fof(f7566,plain,
( ~ spl72_260
| ~ spl72_268 ),
inference(avatar_contradiction_clause,[],[f7565]) ).
fof(f7565,plain,
( $false
| ~ spl72_260
| ~ spl72_268 ),
inference(subsumption_resolution,[],[f7564,f343]) ).
fof(f7564,plain,
( e11 = e13
| ~ spl72_260
| ~ spl72_268 ),
inference(forward_demodulation,[],[f1896,f1932]) ).
fof(f1932,plain,
( e11 = op1(e11,e12)
| ~ spl72_268 ),
inference(avatar_component_clause,[],[f1930]) ).
fof(f1930,plain,
( spl72_268
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_268])]) ).
fof(f7549,plain,
( ~ spl72_258
| ~ spl72_428
| spl72_443 ),
inference(avatar_split_clause,[],[f7548,f2823,f2747,f1886]) ).
fof(f2823,plain,
( spl72_443
<=> e13 = op1(e13,op1(e12,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_443])]) ).
fof(f7548,plain,
( e13 != op1(e13,e12)
| ~ spl72_428
| spl72_443 ),
inference(forward_demodulation,[],[f2825,f2749]) ).
fof(f2825,plain,
( e13 != op1(e13,op1(e12,e11))
| spl72_443 ),
inference(avatar_component_clause,[],[f2823]) ).
fof(f7543,plain,
( ~ spl72_166
| spl72_368 ),
inference(avatar_contradiction_clause,[],[f7542]) ).
fof(f7542,plain,
( $false
| ~ spl72_166
| spl72_368 ),
inference(subsumption_resolution,[],[f7541,f1454]) ).
fof(f1454,plain,
( e13 = op1(e13,e10)
| ~ spl72_166 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f1452,plain,
( spl72_166
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_166])]) ).
fof(f7541,plain,
( e13 != op1(e13,e10)
| ~ spl72_166
| spl72_368 ),
inference(forward_demodulation,[],[f2428,f1454]) ).
fof(f2428,plain,
( e13 != op1(op1(e13,e10),e10)
| spl72_368 ),
inference(avatar_component_clause,[],[f2426]) ).
fof(f2426,plain,
( spl72_368
<=> e13 = op1(op1(e13,e10),e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_368])]) ).
fof(f7533,plain,
( ~ spl72_308
| spl72_489 ),
inference(avatar_contradiction_clause,[],[f7532]) ).
fof(f7532,plain,
( $false
| ~ spl72_308
| spl72_489 ),
inference(subsumption_resolution,[],[f7531,f2130]) ).
fof(f2130,plain,
( e13 = op1(e12,e13)
| ~ spl72_308 ),
inference(avatar_component_clause,[],[f2128]) ).
fof(f2128,plain,
( spl72_308
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_308])]) ).
fof(f7531,plain,
( e13 != op1(e12,e13)
| ~ spl72_308
| spl72_489 ),
inference(superposition,[],[f3089,f2130]) ).
fof(f3089,plain,
( e13 != op1(e12,op1(e12,e13))
| spl72_489 ),
inference(avatar_component_clause,[],[f3087]) ).
fof(f3087,plain,
( spl72_489
<=> e13 = op1(e12,op1(e12,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_489])]) ).
fof(f7435,plain,
( ~ spl72_264
| ~ spl72_346
| spl72_514 ),
inference(avatar_contradiction_clause,[],[f7434]) ).
fof(f7434,plain,
( $false
| ~ spl72_264
| ~ spl72_346
| spl72_514 ),
inference(subsumption_resolution,[],[f7433,f1914]) ).
fof(f7433,plain,
( e11 != op1(e12,e10)
| ~ spl72_346
| spl72_514 ),
inference(forward_demodulation,[],[f3236,f2311]) ).
fof(f3236,plain,
( e11 != op1(e12,op1(e12,e11))
| spl72_514 ),
inference(avatar_component_clause,[],[f3234]) ).
fof(f3234,plain,
( spl72_514
<=> e11 = op1(e12,op1(e12,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_514])]) ).
fof(f7432,plain,
( ~ spl72_264
| spl72_282
| ~ spl72_346 ),
inference(avatar_contradiction_clause,[],[f7431]) ).
fof(f7431,plain,
( $false
| ~ spl72_264
| spl72_282
| ~ spl72_346 ),
inference(subsumption_resolution,[],[f7424,f2311]) ).
fof(f7424,plain,
( e10 != op1(e12,e11)
| ~ spl72_264
| spl72_282 ),
inference(superposition,[],[f1998,f1914]) ).
fof(f7379,plain,
( ~ spl72_178
| ~ spl72_346
| ~ spl72_465 ),
inference(avatar_contradiction_clause,[],[f7378]) ).
fof(f7378,plain,
( $false
| ~ spl72_178
| ~ spl72_346
| ~ spl72_465 ),
inference(subsumption_resolution,[],[f7377,f342]) ).
fof(f7377,plain,
( e10 = e13
| ~ spl72_178
| ~ spl72_346
| ~ spl72_465 ),
inference(forward_demodulation,[],[f7331,f2311]) ).
fof(f7331,plain,
( e13 = op1(e12,e11)
| ~ spl72_178
| ~ spl72_465 ),
inference(forward_demodulation,[],[f2951,f1510]) ).
fof(f7376,plain,
( ~ spl72_90
| spl72_334
| ~ spl72_482 ),
inference(avatar_contradiction_clause,[],[f7375]) ).
fof(f7375,plain,
( $false
| ~ spl72_90
| spl72_334
| ~ spl72_482 ),
inference(subsumption_resolution,[],[f6949,f1112]) ).
fof(f6949,plain,
( e10 != op1(e10,e13)
| spl72_334
| ~ spl72_482 ),
inference(forward_demodulation,[],[f2253,f3045]) ).
fof(f3045,plain,
( e10 = op1(e13,e10)
| ~ spl72_482 ),
inference(avatar_component_clause,[],[f3043]) ).
fof(f3043,plain,
( spl72_482
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_482])]) ).
fof(f2253,plain,
( op1(e10,e13) != op1(e13,e10)
| spl72_334 ),
inference(avatar_component_clause,[],[f2252]) ).
fof(f2252,plain,
( spl72_334
<=> op1(e10,e13) = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_334])]) ).
fof(f7360,plain,
( spl72_308
| ~ spl72_258
| ~ spl72_400 ),
inference(avatar_split_clause,[],[f7359,f2602,f1886,f2128]) ).
fof(f2602,plain,
( spl72_400
<=> op1(e12,e13) = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_400])]) ).
fof(f7359,plain,
( e13 = op1(e12,e13)
| ~ spl72_258
| ~ spl72_400 ),
inference(forward_demodulation,[],[f2604,f1888]) ).
fof(f1888,plain,
( e13 = op1(e13,e12)
| ~ spl72_258 ),
inference(avatar_component_clause,[],[f1886]) ).
fof(f2604,plain,
( op1(e12,e13) = op1(e13,e12)
| ~ spl72_400 ),
inference(avatar_component_clause,[],[f2602]) ).
fof(f7279,plain,
( ~ spl72_440
| ~ spl72_376 ),
inference(avatar_split_clause,[],[f7034,f2482,f2808]) ).
fof(f2482,plain,
( spl72_376
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_376])]) ).
fof(f7034,plain,
( e11 != op1(e13,e11)
| ~ spl72_376 ),
inference(superposition,[],[f303,f2484]) ).
fof(f2484,plain,
( e11 = op1(e13,e13)
| ~ spl72_376 ),
inference(avatar_component_clause,[],[f2482]) ).
fof(f303,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f7278,plain,
( spl72_87
| ~ spl72_165
| ~ spl72_531 ),
inference(avatar_split_clause,[],[f7277,f3357,f1448,f1098]) ).
fof(f1098,plain,
( spl72_87
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_87])]) ).
fof(f7277,plain,
( e10 = op1(e11,e13)
| ~ spl72_165
| ~ spl72_531 ),
inference(forward_demodulation,[],[f3358,f1450]) ).
fof(f3358,plain,
( e10 = op1(e11,op1(e11,e10))
| ~ spl72_531 ),
inference(avatar_component_clause,[],[f3357]) ).
fof(f7270,plain,
( ~ spl72_254
| ~ spl72_269
| spl72_412 ),
inference(avatar_contradiction_clause,[],[f7269]) ).
fof(f7269,plain,
( $false
| ~ spl72_254
| ~ spl72_269
| spl72_412 ),
inference(subsumption_resolution,[],[f7268,f1869]) ).
fof(f7268,plain,
( e11 != op1(e10,e12)
| ~ spl72_269
| spl72_412 ),
inference(forward_demodulation,[],[f2664,f1936]) ).
fof(f2664,plain,
( e11 != op1(op1(e11,e12),e12)
| spl72_412 ),
inference(avatar_component_clause,[],[f2662]) ).
fof(f2662,plain,
( spl72_412
<=> e11 = op1(op1(e11,e12),e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_412])]) ).
fof(f7234,plain,
( ~ spl72_165
| ~ spl72_193 ),
inference(avatar_contradiction_clause,[],[f7233]) ).
fof(f7233,plain,
( $false
| ~ spl72_165
| ~ spl72_193 ),
inference(subsumption_resolution,[],[f7232,f344]) ).
fof(f7232,plain,
( e12 = e13
| ~ spl72_165
| ~ spl72_193 ),
inference(forward_demodulation,[],[f1450,f1580]) ).
fof(f1580,plain,
( e12 = op1(e11,e10)
| ~ spl72_193 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f1578,plain,
( spl72_193
<=> e12 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_193])]) ).
fof(f7227,plain,
( spl72_264
| ~ spl72_254
| ~ spl72_361 ),
inference(avatar_split_clause,[],[f7226,f2387,f1867,f1912]) ).
fof(f2387,plain,
( spl72_361
<=> op1(e10,e12) = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_361])]) ).
fof(f7226,plain,
( e11 = op1(e12,e10)
| ~ spl72_254
| ~ spl72_361 ),
inference(forward_demodulation,[],[f2389,f1869]) ).
fof(f2389,plain,
( op1(e10,e12) = op1(e12,e10)
| ~ spl72_361 ),
inference(avatar_component_clause,[],[f2387]) ).
fof(f7219,plain,
( ~ spl72_202
| ~ spl72_203 ),
inference(avatar_split_clause,[],[f7119,f1624,f1620]) ).
fof(f1620,plain,
( spl72_202
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_202])]) ).
fof(f7119,plain,
( e13 != op1(e12,e11)
| ~ spl72_203 ),
inference(superposition,[],[f277,f1626]) ).
fof(f277,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f7216,plain,
( ~ spl72_391
| ~ spl72_387
| spl72_466 ),
inference(avatar_split_clause,[],[f7215,f2956,f2538,f2557]) ).
fof(f2538,plain,
( spl72_387
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_387])]) ).
fof(f2956,plain,
( spl72_466
<=> e11 = op1(e11,op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_466])]) ).
fof(f7215,plain,
( e11 != op1(e11,e10)
| ~ spl72_387
| spl72_466 ),
inference(forward_demodulation,[],[f2958,f2540]) ).
fof(f2540,plain,
( e10 = op1(e12,e12)
| ~ spl72_387 ),
inference(avatar_component_clause,[],[f2538]) ).
fof(f2958,plain,
( e11 != op1(e11,op1(e12,e12))
| spl72_466 ),
inference(avatar_component_clause,[],[f2956]) ).
fof(f7212,plain,
( ~ spl72_260
| ~ spl72_351
| spl72_429 ),
inference(avatar_contradiction_clause,[],[f7211]) ).
fof(f7211,plain,
( $false
| ~ spl72_260
| ~ spl72_351
| spl72_429 ),
inference(subsumption_resolution,[],[f7210,f2752]) ).
fof(f2752,plain,
( e12 != op1(e13,e11)
| spl72_429 ),
inference(avatar_component_clause,[],[f2751]) ).
fof(f7210,plain,
( e12 = op1(e13,e11)
| ~ spl72_260
| ~ spl72_351 ),
inference(forward_demodulation,[],[f2337,f1896]) ).
fof(f7180,plain,
( spl72_356
| ~ spl72_444 ),
inference(avatar_contradiction_clause,[],[f7179]) ).
fof(f7179,plain,
( $false
| spl72_356
| ~ spl72_444 ),
inference(subsumption_resolution,[],[f7178,f2830]) ).
fof(f7178,plain,
( e12 != op1(e13,e12)
| spl72_356
| ~ spl72_444 ),
inference(superposition,[],[f2363,f2830]) ).
fof(f2363,plain,
( e12 != op1(e13,op1(e13,e12))
| spl72_356 ),
inference(avatar_component_clause,[],[f2361]) ).
fof(f2361,plain,
( spl72_356
<=> e12 = op1(e13,op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_356])]) ).
fof(f7165,plain,
( ~ spl72_391
| spl72_455
| ~ spl72_482 ),
inference(avatar_contradiction_clause,[],[f7164]) ).
fof(f7164,plain,
( $false
| ~ spl72_391
| spl72_455
| ~ spl72_482 ),
inference(subsumption_resolution,[],[f7163,f2559]) ).
fof(f7163,plain,
( e11 != op1(e11,e10)
| spl72_455
| ~ spl72_482 ),
inference(superposition,[],[f2893,f3045]) ).
fof(f2893,plain,
( e11 != op1(e11,op1(e13,e10))
| spl72_455 ),
inference(avatar_component_clause,[],[f2891]) ).
fof(f2891,plain,
( spl72_455
<=> e11 = op1(e11,op1(e13,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_455])]) ).
fof(f7045,plain,
( ~ spl72_491
| ~ spl72_376 ),
inference(avatar_split_clause,[],[f7032,f2482,f3097]) ).
fof(f3097,plain,
( spl72_491
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_491])]) ).
fof(f7032,plain,
( e11 != op1(e13,e12)
| ~ spl72_376 ),
inference(superposition,[],[f282,f2484]) ).
fof(f282,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f6971,plain,
( ~ spl72_202
| spl72_260
| ~ spl72_460 ),
inference(avatar_contradiction_clause,[],[f6970]) ).
fof(f6970,plain,
( $false
| ~ spl72_202
| spl72_260
| ~ spl72_460 ),
inference(subsumption_resolution,[],[f6969,f1895]) ).
fof(f6969,plain,
( e13 = op1(e11,e12)
| ~ spl72_202
| ~ spl72_460 ),
inference(forward_demodulation,[],[f2922,f1622]) ).
fof(f1622,plain,
( e13 = op1(e12,e11)
| ~ spl72_202 ),
inference(avatar_component_clause,[],[f1620]) ).
fof(f6964,plain,
( ~ spl72_87
| ~ spl72_165
| spl72_531 ),
inference(avatar_contradiction_clause,[],[f6963]) ).
fof(f6963,plain,
( $false
| ~ spl72_87
| ~ spl72_165
| spl72_531 ),
inference(subsumption_resolution,[],[f6962,f1100]) ).
fof(f1100,plain,
( e10 = op1(e11,e13)
| ~ spl72_87 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f6962,plain,
( e10 != op1(e11,e13)
| ~ spl72_165
| spl72_531 ),
inference(forward_demodulation,[],[f3359,f1450]) ).
fof(f6948,plain,
( ~ spl72_428
| ~ spl72_176 ),
inference(avatar_split_clause,[],[f6046,f1500,f2747]) ).
fof(f6046,plain,
( e12 != op1(e12,e11)
| ~ spl72_176 ),
inference(superposition,[],[f274,f1502]) ).
fof(f274,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f6927,plain,
( ~ spl72_482
| spl72_490 ),
inference(avatar_contradiction_clause,[],[f6926]) ).
fof(f6926,plain,
( $false
| ~ spl72_482
| spl72_490 ),
inference(subsumption_resolution,[],[f6925,f3045]) ).
fof(f6925,plain,
( e10 != op1(e13,e10)
| ~ spl72_482
| spl72_490 ),
inference(forward_demodulation,[],[f3094,f3045]) ).
fof(f3094,plain,
( e10 != op1(e13,op1(e13,e10))
| spl72_490 ),
inference(avatar_component_clause,[],[f3092]) ).
fof(f3092,plain,
( spl72_490
<=> e10 = op1(e13,op1(e13,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_490])]) ).
fof(f6903,plain,
( spl72_318
| ~ spl72_391
| ~ spl72_531 ),
inference(avatar_contradiction_clause,[],[f6902]) ).
fof(f6902,plain,
( $false
| spl72_318
| ~ spl72_391
| ~ spl72_531 ),
inference(subsumption_resolution,[],[f6901,f2177]) ).
fof(f2177,plain,
( e10 != op1(e11,e11)
| spl72_318 ),
inference(avatar_component_clause,[],[f2176]) ).
fof(f6901,plain,
( e10 = op1(e11,e11)
| ~ spl72_391
| ~ spl72_531 ),
inference(forward_demodulation,[],[f3358,f2559]) ).
fof(f6892,plain,
( ~ spl72_87
| spl72_165
| ~ spl72_425 ),
inference(avatar_contradiction_clause,[],[f6891]) ).
fof(f6891,plain,
( $false
| ~ spl72_87
| spl72_165
| ~ spl72_425 ),
inference(subsumption_resolution,[],[f6890,f1449]) ).
fof(f1449,plain,
( e13 != op1(e11,e10)
| spl72_165 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f6890,plain,
( e13 = op1(e11,e10)
| ~ spl72_87
| ~ spl72_425 ),
inference(forward_demodulation,[],[f2734,f1100]) ).
fof(f2734,plain,
( e13 = op1(e11,op1(e11,e13))
| ~ spl72_425 ),
inference(avatar_component_clause,[],[f2733]) ).
fof(f6875,plain,
( ~ spl72_391
| ~ spl72_390 ),
inference(avatar_split_clause,[],[f5373,f2553,f2557]) ).
fof(f5373,plain,
( e11 != op1(e11,e10)
| ~ spl72_390 ),
inference(superposition,[],[f271,f2555]) ).
fof(f271,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f6859,plain,
( spl72_193
| ~ spl72_254
| ~ spl72_436 ),
inference(avatar_contradiction_clause,[],[f6858]) ).
fof(f6858,plain,
( $false
| spl72_193
| ~ spl72_254
| ~ spl72_436 ),
inference(subsumption_resolution,[],[f6857,f1579]) ).
fof(f1579,plain,
( e12 != op1(e11,e10)
| spl72_193 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f6857,plain,
( e12 = op1(e11,e10)
| ~ spl72_254
| ~ spl72_436 ),
inference(forward_demodulation,[],[f2787,f1869]) ).
fof(f2787,plain,
( e12 = op1(op1(e10,e12),e10)
| ~ spl72_436 ),
inference(avatar_component_clause,[],[f2785]) ).
fof(f2785,plain,
( spl72_436
<=> e12 = op1(op1(e10,e12),e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_436])]) ).
fof(f6853,plain,
( ~ spl72_258
| spl72_358 ),
inference(avatar_contradiction_clause,[],[f6852]) ).
fof(f6852,plain,
( $false
| ~ spl72_258
| spl72_358 ),
inference(subsumption_resolution,[],[f6851,f1888]) ).
fof(f6851,plain,
( e13 != op1(e13,e12)
| ~ spl72_258
| spl72_358 ),
inference(forward_demodulation,[],[f2373,f1888]) ).
fof(f2373,plain,
( e13 != op1(op1(e13,e12),e12)
| spl72_358 ),
inference(avatar_component_clause,[],[f2371]) ).
fof(f2371,plain,
( spl72_358
<=> e13 = op1(op1(e13,e12),e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_358])]) ).
fof(f6848,plain,
( spl72_87
| ~ spl72_390
| ~ spl72_492 ),
inference(avatar_contradiction_clause,[],[f6847]) ).
fof(f6847,plain,
( $false
| spl72_87
| ~ spl72_390
| ~ spl72_492 ),
inference(subsumption_resolution,[],[f6846,f1099]) ).
fof(f1099,plain,
( e10 != op1(e11,e13)
| spl72_87 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f6846,plain,
( e10 = op1(e11,e13)
| ~ spl72_390
| ~ spl72_492 ),
inference(forward_demodulation,[],[f3108,f2555]) ).
fof(f3108,plain,
( e10 = op1(op1(e13,e10),e13)
| ~ spl72_492 ),
inference(avatar_component_clause,[],[f3106]) ).
fof(f3106,plain,
( spl72_492
<=> e10 = op1(op1(e13,e10),e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_492])]) ).
fof(f6835,plain,
( spl72_266
| ~ spl72_429
| ~ spl72_442 ),
inference(avatar_contradiction_clause,[],[f6834]) ).
fof(f6834,plain,
( $false
| spl72_266
| ~ spl72_429
| ~ spl72_442 ),
inference(subsumption_resolution,[],[f6833,f1921]) ).
fof(f1921,plain,
( e11 != op1(e12,e13)
| spl72_266 ),
inference(avatar_component_clause,[],[f1920]) ).
fof(f6833,plain,
( e11 = op1(e12,e13)
| ~ spl72_429
| ~ spl72_442 ),
inference(forward_demodulation,[],[f2820,f2753]) ).
fof(f2820,plain,
( e11 = op1(op1(e13,e11),e13)
| ~ spl72_442 ),
inference(avatar_component_clause,[],[f2818]) ).
fof(f2818,plain,
( spl72_442
<=> e11 = op1(op1(e13,e11),e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_442])]) ).
fof(f6827,plain,
( ~ spl72_396
| spl72_450 ),
inference(avatar_contradiction_clause,[],[f6826]) ).
fof(f6826,plain,
( $false
| ~ spl72_396
| spl72_450 ),
inference(subsumption_resolution,[],[f6825,f2586]) ).
fof(f6825,plain,
( e11 != op1(e11,e13)
| ~ spl72_396
| spl72_450 ),
inference(forward_demodulation,[],[f2862,f2586]) ).
fof(f2862,plain,
( e11 != op1(op1(e11,e13),e13)
| spl72_450 ),
inference(avatar_component_clause,[],[f2860]) ).
fof(f2860,plain,
( spl72_450
<=> e11 = op1(op1(e11,e13),e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_450])]) ).
fof(f6824,plain,
( ~ spl72_317
| spl72_531 ),
inference(avatar_contradiction_clause,[],[f6823]) ).
fof(f6823,plain,
( $false
| ~ spl72_317
| spl72_531 ),
inference(subsumption_resolution,[],[f6822,f2174]) ).
fof(f2174,plain,
( e10 = op1(e11,e10)
| ~ spl72_317 ),
inference(avatar_component_clause,[],[f2172]) ).
fof(f2172,plain,
( spl72_317
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_317])]) ).
fof(f6822,plain,
( e10 != op1(e11,e10)
| ~ spl72_317
| spl72_531 ),
inference(superposition,[],[f3359,f2174]) ).
fof(f6806,plain,
( ~ spl72_128
| ~ spl72_451 ),
inference(avatar_contradiction_clause,[],[f6805]) ).
fof(f6805,plain,
( $false
| ~ spl72_128
| ~ spl72_451 ),
inference(subsumption_resolution,[],[f6795,f549]) ).
fof(f6795,plain,
( e22 = e23
| ~ spl72_128
| ~ spl72_451 ),
inference(superposition,[],[f6793,f1119]) ).
fof(f6793,plain,
( e22 = op2(e20,e21)
| ~ spl72_128
| ~ spl72_451 ),
inference(forward_demodulation,[],[f2870,f1284]) ).
fof(f2870,plain,
( e22 = op2(e20,op2(e20,e22))
| ~ spl72_451 ),
inference(avatar_component_clause,[],[f2869]) ).
fof(f2869,plain,
( spl72_451
<=> e22 = op2(e20,op2(e20,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_451])]) ).
fof(f6792,plain,
( ~ spl72_128
| ~ spl72_237
| spl72_451
| ~ spl72_500 ),
inference(avatar_contradiction_clause,[],[f6791]) ).
fof(f6791,plain,
( $false
| ~ spl72_128
| ~ spl72_237
| spl72_451
| ~ spl72_500 ),
inference(subsumption_resolution,[],[f6790,f6187]) ).
fof(f6187,plain,
( e22 != op2(e20,e21)
| ~ spl72_128
| spl72_451 ),
inference(forward_demodulation,[],[f2871,f1284]) ).
fof(f2871,plain,
( e22 != op2(e20,op2(e20,e22))
| spl72_451 ),
inference(avatar_component_clause,[],[f2869]) ).
fof(f6790,plain,
( e22 = op2(e20,e21)
| ~ spl72_237
| ~ spl72_500 ),
inference(superposition,[],[f3154,f1784]) ).
fof(f6787,plain,
( ~ spl72_191
| spl72_494 ),
inference(avatar_contradiction_clause,[],[f6786]) ).
fof(f6786,plain,
( $false
| ~ spl72_191
| spl72_494 ),
inference(subsumption_resolution,[],[f6785,f1119]) ).
fof(f6785,plain,
( e23 != op2(e20,e21)
| ~ spl72_191
| spl72_494 ),
inference(superposition,[],[f3118,f1571]) ).
fof(f3118,plain,
( e23 != op2(op2(e23,e21),e21)
| spl72_494 ),
inference(avatar_component_clause,[],[f3116]) ).
fof(f3116,plain,
( spl72_494
<=> e23 = op2(op2(e23,e21),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_494])]) ).
fof(f6764,plain,
( ~ spl72_51
| ~ spl72_169
| spl72_324 ),
inference(avatar_contradiction_clause,[],[f6763]) ).
fof(f6763,plain,
( $false
| ~ spl72_51
| ~ spl72_169
| spl72_324 ),
inference(subsumption_resolution,[],[f6762,f1469]) ).
fof(f6762,plain,
( e21 != op2(e22,e23)
| ~ spl72_51
| spl72_324 ),
inference(superposition,[],[f2211,f942]) ).
fof(f2211,plain,
( e21 != op2(op2(e21,e23),e23)
| spl72_324 ),
inference(avatar_component_clause,[],[f2209]) ).
fof(f2209,plain,
( spl72_324
<=> e21 = op2(op2(e21,e23),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_324])]) ).
fof(f6749,plain,
( ~ spl72_232
| ~ spl72_484
| spl72_530 ),
inference(avatar_contradiction_clause,[],[f6748]) ).
fof(f6748,plain,
( $false
| ~ spl72_232
| ~ spl72_484
| spl72_530 ),
inference(subsumption_resolution,[],[f6747,f1758]) ).
fof(f6747,plain,
( e21 != op2(e21,e21)
| ~ spl72_484
| spl72_530 ),
inference(superposition,[],[f3349,f3056]) ).
fof(f3056,plain,
( e21 = h2(e12)
| ~ spl72_484 ),
inference(avatar_component_clause,[],[f3055]) ).
fof(f3055,plain,
( spl72_484
<=> e21 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_484])]) ).
fof(f3349,plain,
( e21 != op2(h2(e12),e21)
| spl72_530 ),
inference(avatar_component_clause,[],[f3348]) ).
fof(f6730,plain,
( ~ spl72_136
| spl72_153
| ~ spl72_273 ),
inference(avatar_contradiction_clause,[],[f6729]) ).
fof(f6729,plain,
( $false
| ~ spl72_136
| spl72_153
| ~ spl72_273 ),
inference(subsumption_resolution,[],[f6722,f1393]) ).
fof(f1393,plain,
( e21 != op2(e22,e22)
| spl72_153 ),
inference(avatar_component_clause,[],[f1392]) ).
fof(f6722,plain,
( e21 = op2(e22,e22)
| ~ spl72_136
| ~ spl72_273 ),
inference(superposition,[],[f1322,f1955]) ).
fof(f1955,plain,
( e22 = op2(e22,e21)
| ~ spl72_273 ),
inference(avatar_component_clause,[],[f1953]) ).
fof(f1953,plain,
( spl72_273
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_273])]) ).
fof(f6583,plain,
( spl72_48
| ~ spl72_236
| ~ spl72_347 ),
inference(avatar_contradiction_clause,[],[f6582]) ).
fof(f6582,plain,
( $false
| spl72_48
| ~ spl72_236
| ~ spl72_347 ),
inference(subsumption_resolution,[],[f6581,f929]) ).
fof(f929,plain,
( e20 != op2(e21,e23)
| spl72_48 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f928,plain,
( spl72_48
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_48])]) ).
fof(f6581,plain,
( e20 = op2(e21,e23)
| ~ spl72_236
| ~ spl72_347 ),
inference(forward_demodulation,[],[f2316,f1779]) ).
fof(f2316,plain,
( e20 = op2(op2(e23,e20),e23)
| ~ spl72_347 ),
inference(avatar_component_clause,[],[f2314]) ).
fof(f2314,plain,
( spl72_347
<=> e20 = op2(op2(e23,e20),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_347])]) ).
fof(f6578,plain,
( spl72_119
| ~ spl72_128
| ~ spl72_232 ),
inference(avatar_contradiction_clause,[],[f6577]) ).
fof(f6577,plain,
( $false
| spl72_119
| ~ spl72_128
| ~ spl72_232 ),
inference(subsumption_resolution,[],[f6576,f1758]) ).
fof(f6576,plain,
( e21 != op2(e21,e21)
| spl72_119
| ~ spl72_128 ),
inference(forward_demodulation,[],[f1242,f1284]) ).
fof(f1242,plain,
( e21 != op2(e21,op2(e20,e22))
| spl72_119 ),
inference(avatar_component_clause,[],[f1240]) ).
fof(f1240,plain,
( spl72_119
<=> e21 = op2(e21,op2(e20,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_119])]) ).
fof(f6574,plain,
( spl72_191
| ~ spl72_59
| ~ spl72_486 ),
inference(avatar_split_clause,[],[f6573,f3066,f979,f1569]) ).
fof(f3066,plain,
( spl72_486
<=> e20 = op2(op2(e21,e20),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_486])]) ).
fof(f6573,plain,
( e20 = op2(e23,e21)
| ~ spl72_59
| ~ spl72_486 ),
inference(forward_demodulation,[],[f3068,f981]) ).
fof(f3068,plain,
( e20 = op2(op2(e21,e20),e21)
| ~ spl72_486 ),
inference(avatar_component_clause,[],[f3066]) ).
fof(f6560,plain,
( spl72_190
| ~ spl72_20
| ~ spl72_129 ),
inference(avatar_split_clause,[],[f6559,f1287,f809,f1565]) ).
fof(f1287,plain,
( spl72_129
<=> op2(e20,e23) = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_129])]) ).
fof(f6559,plain,
( e20 = op2(e23,e20)
| ~ spl72_20
| ~ spl72_129 ),
inference(forward_demodulation,[],[f1289,f811]) ).
fof(f1289,plain,
( op2(e20,e23) = op2(e23,e20)
| ~ spl72_129 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f6554,plain,
( ~ spl72_150
| ~ spl72_51
| spl72_142 ),
inference(avatar_split_clause,[],[f6553,f1346,f940,f1380]) ).
fof(f1346,plain,
( spl72_142
<=> e22 = op2(e22,op2(e21,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_142])]) ).
fof(f6553,plain,
( e22 != op2(e22,e22)
| ~ spl72_51
| spl72_142 ),
inference(forward_demodulation,[],[f1348,f942]) ).
fof(f1348,plain,
( e22 != op2(e22,op2(e21,e23))
| spl72_142 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f6549,plain,
( ~ spl72_161
| ~ spl72_478 ),
inference(avatar_split_clause,[],[f6548,f3021,f1430]) ).
fof(f3021,plain,
( spl72_478
<=> e23 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_478])]) ).
fof(f6548,plain,
( e23 != op2(e23,e22)
| ~ spl72_478 ),
inference(forward_demodulation,[],[f5471,f3022]) ).
fof(f3022,plain,
( e23 = h4(e12)
| ~ spl72_478 ),
inference(avatar_component_clause,[],[f3021]) ).
fof(f5471,plain,
op2(e23,e22) != h4(e12),
inference(superposition,[],[f395,f188]) ).
fof(f188,plain,
op2(e23,e23) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( op2(e23,op2(e23,e23)) = h4(e11)
& e23 = h4(e10)
& h4(e13) = op2(e23,op2(e23,op2(e23,e23)))
& op2(e23,e23) = h4(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f395,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f6537,plain,
( spl72_158
| ~ spl72_169
| ~ spl72_364 ),
inference(avatar_contradiction_clause,[],[f6536]) ).
fof(f6536,plain,
( $false
| spl72_158
| ~ spl72_169
| ~ spl72_364 ),
inference(subsumption_resolution,[],[f6535,f1419]) ).
fof(f1419,plain,
( e21 != op2(e23,e22)
| spl72_158 ),
inference(avatar_component_clause,[],[f1418]) ).
fof(f6535,plain,
( e21 = op2(e23,e22)
| ~ spl72_169
| ~ spl72_364 ),
inference(forward_demodulation,[],[f2404,f1469]) ).
fof(f6521,plain,
( ~ spl72_234
| spl72_238
| ~ spl72_486 ),
inference(avatar_contradiction_clause,[],[f6520]) ).
fof(f6520,plain,
( $false
| ~ spl72_234
| spl72_238
| ~ spl72_486 ),
inference(subsumption_resolution,[],[f6519,f1787]) ).
fof(f1787,plain,
( e20 != op2(e21,e21)
| spl72_238 ),
inference(avatar_component_clause,[],[f1786]) ).
fof(f1786,plain,
( spl72_238
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_238])]) ).
fof(f6519,plain,
( e20 = op2(e21,e21)
| ~ spl72_234
| ~ spl72_486 ),
inference(forward_demodulation,[],[f3068,f1771]) ).
fof(f6518,plain,
( spl72_235
| ~ spl72_385
| ~ spl72_484 ),
inference(avatar_contradiction_clause,[],[f6517]) ).
fof(f6517,plain,
( $false
| spl72_235
| ~ spl72_385
| ~ spl72_484 ),
inference(subsumption_resolution,[],[f6516,f1774]) ).
fof(f6516,plain,
( e21 = e22
| ~ spl72_385
| ~ spl72_484 ),
inference(forward_demodulation,[],[f2530,f3056]) ).
fof(f2530,plain,
( e22 = h2(e12)
| ~ spl72_385 ),
inference(avatar_component_clause,[],[f2529]) ).
fof(f2529,plain,
( spl72_385
<=> e22 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_385])]) ).
fof(f6509,plain,
( ~ spl72_232
| spl72_235
| ~ spl72_403 ),
inference(avatar_contradiction_clause,[],[f6508]) ).
fof(f6508,plain,
( $false
| ~ spl72_232
| spl72_235
| ~ spl72_403 ),
inference(subsumption_resolution,[],[f6507,f1774]) ).
fof(f6507,plain,
( e21 = e22
| ~ spl72_232
| ~ spl72_403 ),
inference(forward_demodulation,[],[f2620,f1758]) ).
fof(f2620,plain,
( e22 = op2(e21,e21)
| ~ spl72_403 ),
inference(avatar_component_clause,[],[f2618]) ).
fof(f6503,plain,
( ~ spl72_161
| ~ spl72_169
| ~ spl72_364 ),
inference(avatar_contradiction_clause,[],[f6502]) ).
fof(f6502,plain,
( $false
| ~ spl72_161
| ~ spl72_169
| ~ spl72_364 ),
inference(subsumption_resolution,[],[f6501,f545]) ).
fof(f6501,plain,
( e21 = e23
| ~ spl72_161
| ~ spl72_169
| ~ spl72_364 ),
inference(forward_demodulation,[],[f6500,f1469]) ).
fof(f6500,plain,
( e23 = op2(e22,e23)
| ~ spl72_161
| ~ spl72_364 ),
inference(forward_demodulation,[],[f2404,f1432]) ).
fof(f6497,plain,
( ~ spl72_231
| ~ spl72_232 ),
inference(avatar_contradiction_clause,[],[f6496]) ).
fof(f6496,plain,
( $false
| ~ spl72_231
| ~ spl72_232 ),
inference(subsumption_resolution,[],[f5715,f1758]) ).
fof(f5715,plain,
( e21 != op2(e21,e21)
| ~ spl72_231 ),
inference(superposition,[],[f353,f1754]) ).
fof(f1754,plain,
( e21 = op2(e23,e21)
| ~ spl72_231 ),
inference(avatar_component_clause,[],[f1752]) ).
fof(f1752,plain,
( spl72_231
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_231])]) ).
fof(f353,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f6495,plain,
( spl72_53
| ~ spl72_348
| ~ spl72_500 ),
inference(avatar_contradiction_clause,[],[f6494]) ).
fof(f6494,plain,
( $false
| spl72_53
| ~ spl72_348
| ~ spl72_500 ),
inference(subsumption_resolution,[],[f6493,f3154]) ).
fof(f6493,plain,
( e22 != op2(op2(e21,e22),e21)
| spl72_53
| ~ spl72_348 ),
inference(forward_demodulation,[],[f953,f2321]) ).
fof(f2321,plain,
( op2(e21,e22) = op2(e22,e21)
| ~ spl72_348 ),
inference(avatar_component_clause,[],[f2319]) ).
fof(f2319,plain,
( spl72_348
<=> op2(e21,e22) = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_348])]) ).
fof(f953,plain,
( e22 != op2(op2(e22,e21),e21)
| spl72_53 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f6483,plain,
( ~ spl72_128
| ~ spl72_234
| spl72_235
| ~ spl72_501 ),
inference(avatar_contradiction_clause,[],[f6482]) ).
fof(f6482,plain,
( $false
| ~ spl72_128
| ~ spl72_234
| spl72_235
| ~ spl72_501 ),
inference(subsumption_resolution,[],[f6481,f1774]) ).
fof(f6481,plain,
( e21 = e22
| ~ spl72_128
| ~ spl72_234
| ~ spl72_501 ),
inference(forward_demodulation,[],[f6480,f1771]) ).
fof(f6480,plain,
( e22 = op2(e21,e20)
| ~ spl72_128
| ~ spl72_501 ),
inference(forward_demodulation,[],[f3159,f1284]) ).
fof(f3159,plain,
( e22 = op2(op2(e20,e22),e20)
| ~ spl72_501 ),
inference(avatar_component_clause,[],[f3157]) ).
fof(f3157,plain,
( spl72_501
<=> e22 = op2(op2(e20,e22),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_501])]) ).
fof(f6460,plain,
( ~ spl72_234
| spl72_235
| ~ spl72_366 ),
inference(avatar_contradiction_clause,[],[f6459]) ).
fof(f6459,plain,
( $false
| ~ spl72_234
| spl72_235
| ~ spl72_366 ),
inference(subsumption_resolution,[],[f6458,f1774]) ).
fof(f6458,plain,
( e21 = e22
| ~ spl72_234
| ~ spl72_366 ),
inference(forward_demodulation,[],[f2416,f1771]) ).
fof(f2416,plain,
( e22 = op2(e21,e20)
| ~ spl72_366 ),
inference(avatar_component_clause,[],[f2414]) ).
fof(f2414,plain,
( spl72_366
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_366])]) ).
fof(f6451,plain,
( spl72_385
| ~ spl72_403 ),
inference(avatar_contradiction_clause,[],[f6450]) ).
fof(f6450,plain,
( $false
| spl72_385
| ~ spl72_403 ),
inference(subsumption_resolution,[],[f4671,f2531]) ).
fof(f2531,plain,
( e22 != h2(e12)
| spl72_385 ),
inference(avatar_component_clause,[],[f2529]) ).
fof(f4671,plain,
( e22 = h2(e12)
| ~ spl72_403 ),
inference(superposition,[],[f2620,f168]) ).
fof(f6449,plain,
( ~ spl72_234
| ~ spl72_238
| spl72_384 ),
inference(avatar_contradiction_clause,[],[f6448]) ).
fof(f6448,plain,
( $false
| ~ spl72_234
| ~ spl72_238
| spl72_384 ),
inference(subsumption_resolution,[],[f6447,f1788]) ).
fof(f1788,plain,
( e20 = op2(e21,e21)
| ~ spl72_238 ),
inference(avatar_component_clause,[],[f1786]) ).
fof(f6447,plain,
( e20 != op2(e21,e21)
| ~ spl72_234
| spl72_384 ),
inference(forward_demodulation,[],[f2526,f1771]) ).
fof(f2526,plain,
( e20 != op2(e21,op2(e21,e20))
| spl72_384 ),
inference(avatar_component_clause,[],[f2524]) ).
fof(f2524,plain,
( spl72_384
<=> e20 = op2(e21,op2(e21,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_384])]) ).
fof(f6435,plain,
( ~ spl72_237
| ~ spl72_238 ),
inference(avatar_contradiction_clause,[],[f6434]) ).
fof(f6434,plain,
( $false
| ~ spl72_237
| ~ spl72_238 ),
inference(subsumption_resolution,[],[f6304,f1788]) ).
fof(f6304,plain,
( e20 != op2(e21,e21)
| ~ spl72_237 ),
inference(superposition,[],[f361,f1784]) ).
fof(f361,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f6423,plain,
( ~ spl72_237
| ~ spl72_426 ),
inference(avatar_contradiction_clause,[],[f6422]) ).
fof(f6422,plain,
( $false
| ~ spl72_237
| ~ spl72_426 ),
inference(subsumption_resolution,[],[f6421,f548]) ).
fof(f548,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f6421,plain,
( e20 = e22
| ~ spl72_237
| ~ spl72_426 ),
inference(forward_demodulation,[],[f2740,f1784]) ).
fof(f6398,plain,
( ~ spl72_39
| ~ spl72_335 ),
inference(avatar_split_clause,[],[f6397,f2257,f886]) ).
fof(f886,plain,
( spl72_39
<=> e23 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_39])]) ).
fof(f6397,plain,
( e23 != h2(e12)
| ~ spl72_335 ),
inference(forward_demodulation,[],[f4696,f2258]) ).
fof(f4696,plain,
h1(e13) != h2(e12),
inference(superposition,[],[f1521,f168]) ).
fof(f1521,plain,
op2(e21,e21) != h1(e13),
inference(forward_demodulation,[],[f370,f925]) ).
fof(f370,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f6389,plain,
( ~ spl72_50
| spl72_245 ),
inference(avatar_contradiction_clause,[],[f6388]) ).
fof(f6388,plain,
( $false
| ~ spl72_50
| spl72_245 ),
inference(subsumption_resolution,[],[f6387,f938]) ).
fof(f938,plain,
( e23 = op2(e21,e23)
| ~ spl72_50 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f936,plain,
( spl72_50
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_50])]) ).
fof(f6387,plain,
( e23 != op2(e21,e23)
| ~ spl72_50
| spl72_245 ),
inference(forward_demodulation,[],[f1823,f938]) ).
fof(f6372,plain,
( spl72_49
| ~ spl72_155
| ~ spl72_231 ),
inference(avatar_contradiction_clause,[],[f6371]) ).
fof(f6371,plain,
( $false
| spl72_49
| ~ spl72_155
| ~ spl72_231 ),
inference(subsumption_resolution,[],[f5645,f933]) ).
fof(f933,plain,
( e21 != op2(e21,e23)
| spl72_49 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f5645,plain,
( e21 = op2(e21,e23)
| ~ spl72_155
| ~ spl72_231 ),
inference(forward_demodulation,[],[f1404,f1754]) ).
fof(f1404,plain,
( op2(e21,e23) = op2(e23,e21)
| ~ spl72_155 ),
inference(avatar_component_clause,[],[f1402]) ).
fof(f1402,plain,
( spl72_155
<=> op2(e21,e23) = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_155])]) ).
fof(f6355,plain,
( ~ spl72_160
| spl72_344 ),
inference(avatar_contradiction_clause,[],[f6354]) ).
fof(f6354,plain,
( $false
| ~ spl72_160
| spl72_344 ),
inference(subsumption_resolution,[],[f6353,f1428]) ).
fof(f6353,plain,
( e22 != op2(e23,e22)
| ~ spl72_160
| spl72_344 ),
inference(forward_demodulation,[],[f2302,f1428]) ).
fof(f2302,plain,
( e22 != op2(e23,op2(e23,e22))
| spl72_344 ),
inference(avatar_component_clause,[],[f2300]) ).
fof(f2300,plain,
( spl72_344
<=> e22 = op2(e23,op2(e23,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_344])]) ).
fof(f6334,plain,
( spl72_120
| ~ spl72_227 ),
inference(avatar_contradiction_clause,[],[f6333]) ).
fof(f6333,plain,
( $false
| spl72_120
| ~ spl72_227 ),
inference(subsumption_resolution,[],[f6332,f1732]) ).
fof(f6332,plain,
( e22 != op2(e22,e23)
| spl72_120
| ~ spl72_227 ),
inference(forward_demodulation,[],[f1247,f1732]) ).
fof(f6294,plain,
( ~ spl72_161
| spl72_344
| ~ spl72_432 ),
inference(avatar_contradiction_clause,[],[f6293]) ).
fof(f6293,plain,
( $false
| ~ spl72_161
| spl72_344
| ~ spl72_432 ),
inference(subsumption_resolution,[],[f6292,f2767]) ).
fof(f6292,plain,
( e22 != op2(e23,e23)
| ~ spl72_161
| spl72_344 ),
inference(superposition,[],[f2302,f1432]) ).
fof(f6253,plain,
( spl72_54
| ~ spl72_190 ),
inference(avatar_contradiction_clause,[],[f6252]) ).
fof(f6252,plain,
( $false
| spl72_54
| ~ spl72_190 ),
inference(subsumption_resolution,[],[f6251,f1567]) ).
fof(f6251,plain,
( e20 != op2(e23,e20)
| spl72_54
| ~ spl72_190 ),
inference(forward_demodulation,[],[f958,f1567]) ).
fof(f958,plain,
( e20 != op2(e23,op2(e23,e20))
| spl72_54 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f956,plain,
( spl72_54
<=> e20 = op2(e23,op2(e23,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_54])]) ).
fof(f6247,plain,
( ~ spl72_160
| ~ spl72_432 ),
inference(avatar_split_clause,[],[f5753,f2765,f1426]) ).
fof(f5753,plain,
( e22 != op2(e23,e22)
| ~ spl72_432 ),
inference(superposition,[],[f395,f2767]) ).
fof(f6243,plain,
( ~ spl72_237
| ~ spl72_128
| spl72_471 ),
inference(avatar_split_clause,[],[f6192,f2982,f1282,f1782]) ).
fof(f2982,plain,
( spl72_471
<=> e20 = op2(op2(e20,e22),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_471])]) ).
fof(f6192,plain,
( e20 != op2(e21,e22)
| ~ spl72_128
| spl72_471 ),
inference(forward_demodulation,[],[f2984,f1284]) ).
fof(f2984,plain,
( e20 != op2(op2(e20,e22),e22)
| spl72_471 ),
inference(avatar_component_clause,[],[f2982]) ).
fof(f6231,plain,
( ~ spl72_225
| spl72_275 ),
inference(avatar_contradiction_clause,[],[f6230]) ).
fof(f6230,plain,
( $false
| ~ spl72_225
| spl72_275 ),
inference(subsumption_resolution,[],[f6229,f1724]) ).
fof(f1724,plain,
( e23 = op2(e22,e23)
| ~ spl72_225 ),
inference(avatar_component_clause,[],[f1722]) ).
fof(f6229,plain,
( e23 != op2(e22,e23)
| ~ spl72_225
| spl72_275 ),
inference(forward_demodulation,[],[f1964,f1724]) ).
fof(f1964,plain,
( e23 != op2(e22,op2(e22,e23))
| spl72_275 ),
inference(avatar_component_clause,[],[f1962]) ).
fof(f1962,plain,
( spl72_275
<=> e23 = op2(e22,op2(e22,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_275])]) ).
fof(f6224,plain,
( ~ spl72_228
| spl72_384 ),
inference(avatar_contradiction_clause,[],[f6223]) ).
fof(f6223,plain,
( $false
| ~ spl72_228
| spl72_384 ),
inference(subsumption_resolution,[],[f6222,f1739]) ).
fof(f1739,plain,
( e20 = op2(e21,e20)
| ~ spl72_228 ),
inference(avatar_component_clause,[],[f1737]) ).
fof(f1737,plain,
( spl72_228
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_228])]) ).
fof(f6222,plain,
( e20 != op2(e21,e20)
| ~ spl72_228
| spl72_384 ),
inference(forward_demodulation,[],[f2526,f1739]) ).
fof(f6214,plain,
( ~ spl72_49
| ~ spl72_296
| ~ spl72_403 ),
inference(avatar_contradiction_clause,[],[f6213]) ).
fof(f6213,plain,
( $false
| ~ spl72_49
| ~ spl72_296
| ~ spl72_403 ),
inference(subsumption_resolution,[],[f6212,f549]) ).
fof(f6212,plain,
( e22 = e23
| ~ spl72_49
| ~ spl72_296
| ~ spl72_403 ),
inference(forward_demodulation,[],[f6211,f2620]) ).
fof(f6211,plain,
( e23 = op2(e21,e21)
| ~ spl72_49
| ~ spl72_296 ),
inference(forward_demodulation,[],[f2068,f934]) ).
fof(f6210,plain,
( ~ spl72_49
| spl72_324 ),
inference(avatar_contradiction_clause,[],[f6209]) ).
fof(f6209,plain,
( $false
| ~ spl72_49
| spl72_324 ),
inference(subsumption_resolution,[],[f6208,f934]) ).
fof(f6208,plain,
( e21 != op2(e21,e23)
| ~ spl72_49
| spl72_324 ),
inference(forward_demodulation,[],[f2211,f934]) ).
fof(f6202,plain,
( ~ spl72_60
| spl72_518 ),
inference(avatar_contradiction_clause,[],[f6201]) ).
fof(f6201,plain,
( $false
| ~ spl72_60
| spl72_518 ),
inference(subsumption_resolution,[],[f6200,f985]) ).
fof(f985,plain,
( e23 = op2(e23,e20)
| ~ spl72_60 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f983,plain,
( spl72_60
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_60])]) ).
fof(f6200,plain,
( e23 != op2(e23,e20)
| ~ spl72_60
| spl72_518 ),
inference(forward_demodulation,[],[f3262,f985]) ).
fof(f6190,plain,
( ~ spl72_128
| spl72_366
| ~ spl72_501 ),
inference(avatar_contradiction_clause,[],[f6189]) ).
fof(f6189,plain,
( $false
| ~ spl72_128
| spl72_366
| ~ spl72_501 ),
inference(subsumption_resolution,[],[f6188,f2415]) ).
fof(f2415,plain,
( e22 != op2(e21,e20)
| spl72_366 ),
inference(avatar_component_clause,[],[f2414]) ).
fof(f6188,plain,
( e22 = op2(e21,e20)
| ~ spl72_128
| ~ spl72_501 ),
inference(forward_demodulation,[],[f3159,f1284]) ).
fof(f6181,plain,
( spl72_184
| ~ spl72_231 ),
inference(avatar_contradiction_clause,[],[f6180]) ).
fof(f6180,plain,
( $false
| spl72_184
| ~ spl72_231 ),
inference(subsumption_resolution,[],[f6179,f1754]) ).
fof(f6179,plain,
( e21 != op2(e23,e21)
| spl72_184
| ~ spl72_231 ),
inference(forward_demodulation,[],[f1539,f1754]) ).
fof(f6169,plain,
( ~ spl72_170
| ~ spl72_198
| spl72_237 ),
inference(avatar_contradiction_clause,[],[f6168]) ).
fof(f6168,plain,
( $false
| ~ spl72_170
| ~ spl72_198
| spl72_237 ),
inference(subsumption_resolution,[],[f6167,f1783]) ).
fof(f1783,plain,
( e20 != op2(e21,e22)
| spl72_237 ),
inference(avatar_component_clause,[],[f1782]) ).
fof(f6167,plain,
( e20 = op2(e21,e22)
| ~ spl72_170
| ~ spl72_198 ),
inference(forward_demodulation,[],[f1603,f1473]) ).
fof(f1473,plain,
( e21 = op2(e22,e20)
| ~ spl72_170 ),
inference(avatar_component_clause,[],[f1471]) ).
fof(f1471,plain,
( spl72_170
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_170])]) ).
fof(f6165,plain,
( ~ spl72_170
| ~ spl72_274
| spl72_375 ),
inference(avatar_contradiction_clause,[],[f6164]) ).
fof(f6164,plain,
( $false
| ~ spl72_170
| ~ spl72_274
| spl72_375 ),
inference(subsumption_resolution,[],[f6163,f1959]) ).
fof(f6163,plain,
( e20 != op2(e22,e21)
| ~ spl72_170
| spl72_375 ),
inference(forward_demodulation,[],[f2479,f1473]) ).
fof(f6162,plain,
( spl72_118
| ~ spl72_159
| ~ spl72_479 ),
inference(avatar_contradiction_clause,[],[f6161]) ).
fof(f6161,plain,
( $false
| spl72_118
| ~ spl72_159
| ~ spl72_479 ),
inference(subsumption_resolution,[],[f6160,f1236]) ).
fof(f1236,plain,
( e22 != op2(e20,e23)
| spl72_118 ),
inference(avatar_component_clause,[],[f1235]) ).
fof(f1235,plain,
( spl72_118
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_118])]) ).
fof(f6160,plain,
( e22 = op2(e20,e23)
| ~ spl72_159
| ~ spl72_479 ),
inference(superposition,[],[f3028,f1424]) ).
fof(f3028,plain,
( e22 = op2(op2(e23,e22),e23)
| ~ spl72_479 ),
inference(avatar_component_clause,[],[f3026]) ).
fof(f3026,plain,
( spl72_479
<=> e22 = op2(op2(e23,e22),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_479])]) ).
fof(f5991,plain,
( ~ spl72_254
| ~ spl72_429
| ~ spl72_430 ),
inference(avatar_contradiction_clause,[],[f5990]) ).
fof(f5990,plain,
( $false
| ~ spl72_254
| ~ spl72_429
| ~ spl72_430 ),
inference(subsumption_resolution,[],[f5989,f344]) ).
fof(f5989,plain,
( e12 = e13
| ~ spl72_254
| ~ spl72_429
| ~ spl72_430 ),
inference(forward_demodulation,[],[f5988,f2753]) ).
fof(f5988,plain,
( e13 = op1(e13,e11)
| ~ spl72_254
| ~ spl72_430 ),
inference(forward_demodulation,[],[f2757,f1869]) ).
fof(f2757,plain,
( e13 = op1(e13,op1(e10,e12))
| ~ spl72_430 ),
inference(avatar_component_clause,[],[f2756]) ).
fof(f5972,plain,
( ~ spl72_163
| ~ spl72_165 ),
inference(avatar_contradiction_clause,[],[f5971]) ).
fof(f5971,plain,
( $false
| ~ spl72_163
| ~ spl72_165 ),
inference(subsumption_resolution,[],[f5967,f1450]) ).
fof(f5967,plain,
( e13 != op1(e11,e10)
| ~ spl72_163 ),
inference(superposition,[],[f261,f1442]) ).
fof(f1442,plain,
( e13 = op1(e12,e10)
| ~ spl72_163 ),
inference(avatar_component_clause,[],[f1440]) ).
fof(f261,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f5958,plain,
( ~ spl72_263
| spl72_268
| ~ spl72_406 ),
inference(avatar_contradiction_clause,[],[f5957]) ).
fof(f5957,plain,
( $false
| ~ spl72_263
| spl72_268
| ~ spl72_406 ),
inference(subsumption_resolution,[],[f5956,f1931]) ).
fof(f1931,plain,
( e11 != op1(e11,e12)
| spl72_268 ),
inference(avatar_component_clause,[],[f1930]) ).
fof(f5956,plain,
( e11 = op1(e11,e12)
| ~ spl72_263
| ~ spl72_406 ),
inference(forward_demodulation,[],[f2635,f1910]) ).
fof(f2635,plain,
( e11 = op1(op1(e12,e11),e12)
| ~ spl72_406 ),
inference(avatar_component_clause,[],[f2633]) ).
fof(f2633,plain,
( spl72_406
<=> e11 = op1(op1(e12,e11),e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_406])]) ).
fof(f5955,plain,
( ~ spl72_263
| spl72_514 ),
inference(avatar_contradiction_clause,[],[f5954]) ).
fof(f5954,plain,
( $false
| ~ spl72_263
| spl72_514 ),
inference(subsumption_resolution,[],[f5953,f1910]) ).
fof(f5953,plain,
( e11 != op1(e12,e11)
| ~ spl72_263
| spl72_514 ),
inference(forward_demodulation,[],[f3236,f1910]) ).
fof(f5946,plain,
( ~ spl72_163
| ~ spl72_464
| spl72_512 ),
inference(avatar_contradiction_clause,[],[f5945]) ).
fof(f5945,plain,
( $false
| ~ spl72_163
| ~ spl72_464
| spl72_512 ),
inference(subsumption_resolution,[],[f5944,f3224]) ).
fof(f3224,plain,
( e10 != op1(e13,e12)
| spl72_512 ),
inference(avatar_component_clause,[],[f3223]) ).
fof(f5944,plain,
( e10 = op1(e13,e12)
| ~ spl72_163
| ~ spl72_464 ),
inference(forward_demodulation,[],[f2946,f1442]) ).
fof(f5935,plain,
( ~ spl72_90
| spl72_378 ),
inference(avatar_contradiction_clause,[],[f5934]) ).
fof(f5934,plain,
( $false
| ~ spl72_90
| spl72_378 ),
inference(subsumption_resolution,[],[f5933,f1112]) ).
fof(f5933,plain,
( e10 != op1(e10,e13)
| ~ spl72_90
| spl72_378 ),
inference(forward_demodulation,[],[f2494,f1112]) ).
fof(f2494,plain,
( e10 != op1(op1(e10,e13),e13)
| spl72_378 ),
inference(avatar_component_clause,[],[f2492]) ).
fof(f2492,plain,
( spl72_378
<=> e10 = op1(op1(e10,e13),e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_378])]) ).
fof(f5916,plain,
( spl72_132
| ~ spl72_176 ),
inference(avatar_contradiction_clause,[],[f5915]) ).
fof(f5915,plain,
( $false
| spl72_132
| ~ spl72_176 ),
inference(subsumption_resolution,[],[f5914,f1502]) ).
fof(f5914,plain,
( e12 != op1(e12,e13)
| spl72_132
| ~ spl72_176 ),
inference(forward_demodulation,[],[f1303,f1502]) ).
fof(f5883,plain,
( ~ spl72_194
| spl72_388 ),
inference(avatar_contradiction_clause,[],[f5882]) ).
fof(f5882,plain,
( $false
| ~ spl72_194
| spl72_388 ),
inference(subsumption_resolution,[],[f5881,f1584]) ).
fof(f5881,plain,
( e12 != op1(e11,e12)
| ~ spl72_194
| spl72_388 ),
inference(forward_demodulation,[],[f2545,f1584]) ).
fof(f5876,plain,
( ~ spl72_308
| ~ spl72_258
| spl72_400 ),
inference(avatar_split_clause,[],[f5875,f2602,f1886,f2128]) ).
fof(f5875,plain,
( e13 != op1(e12,e13)
| ~ spl72_258
| spl72_400 ),
inference(forward_demodulation,[],[f2603,f1888]) ).
fof(f2603,plain,
( op1(e12,e13) != op1(e13,e12)
| spl72_400 ),
inference(avatar_component_clause,[],[f2602]) ).
fof(f5866,plain,
( ~ spl72_269
| ~ spl72_318 ),
inference(avatar_contradiction_clause,[],[f5865]) ).
fof(f5865,plain,
( $false
| ~ spl72_269
| ~ spl72_318 ),
inference(subsumption_resolution,[],[f5410,f2178]) ).
fof(f5410,plain,
( e10 != op1(e11,e11)
| ~ spl72_269 ),
inference(superposition,[],[f301,f1936]) ).
fof(f301,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5863,plain,
( spl72_345
| ~ spl72_165
| ~ spl72_239 ),
inference(avatar_split_clause,[],[f5804,f1792,f1448,f2305]) ).
fof(f5804,plain,
( e10 = op1(e13,e11)
| ~ spl72_165
| ~ spl72_239 ),
inference(superposition,[],[f1794,f1450]) ).
fof(f5862,plain,
( ~ spl72_429
| ~ spl72_179 ),
inference(avatar_split_clause,[],[f5412,f1512,f2751]) ).
fof(f1512,plain,
( spl72_179
<=> e12 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_179])]) ).
fof(f5412,plain,
( e12 != op1(e13,e11)
| ~ spl72_179 ),
inference(superposition,[],[f303,f1514]) ).
fof(f1514,plain,
( e12 = op1(e13,e13)
| ~ spl72_179 ),
inference(avatar_component_clause,[],[f1512]) ).
fof(f5842,plain,
( ~ spl72_90
| ~ spl72_187
| spl72_452 ),
inference(avatar_contradiction_clause,[],[f5841]) ).
fof(f5841,plain,
( $false
| ~ spl72_90
| ~ spl72_187
| spl72_452 ),
inference(subsumption_resolution,[],[f5840,f1112]) ).
fof(f5840,plain,
( e10 != op1(e10,e13)
| ~ spl72_187
| spl72_452 ),
inference(superposition,[],[f2876,f1554]) ).
fof(f2876,plain,
( e10 != op1(e10,op1(e10,e11))
| spl72_452 ),
inference(avatar_component_clause,[],[f2874]) ).
fof(f2874,plain,
( spl72_452
<=> e10 = op1(e10,op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_452])]) ).
fof(f5823,plain,
( ~ spl72_179
| ~ spl72_258
| spl72_382 ),
inference(avatar_contradiction_clause,[],[f5822]) ).
fof(f5822,plain,
( $false
| ~ spl72_179
| ~ spl72_258
| spl72_382 ),
inference(subsumption_resolution,[],[f5821,f1888]) ).
fof(f5821,plain,
( e13 != op1(e13,e12)
| ~ spl72_179
| spl72_382 ),
inference(superposition,[],[f2516,f1514]) ).
fof(f2516,plain,
( e13 != op1(e13,op1(e13,e13))
| spl72_382 ),
inference(avatar_component_clause,[],[f2514]) ).
fof(f2514,plain,
( spl72_382
<=> e13 = op1(e13,op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_382])]) ).
fof(f5797,plain,
( spl72_137
| ~ spl72_170
| ~ spl72_274 ),
inference(avatar_contradiction_clause,[],[f5796]) ).
fof(f5796,plain,
( $false
| spl72_137
| ~ spl72_170
| ~ spl72_274 ),
inference(subsumption_resolution,[],[f5795,f1473]) ).
fof(f5795,plain,
( e21 != op2(e22,e20)
| spl72_137
| ~ spl72_274 ),
inference(superposition,[],[f1327,f1959]) ).
fof(f1327,plain,
( e21 != op2(e22,op2(e22,e21))
| spl72_137 ),
inference(avatar_component_clause,[],[f1325]) ).
fof(f1325,plain,
( spl72_137
<=> e21 = op2(e22,op2(e22,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_137])]) ).
fof(f5783,plain,
( ~ spl72_53
| ~ spl72_274 ),
inference(avatar_contradiction_clause,[],[f5782]) ).
fof(f5782,plain,
( $false
| ~ spl72_53
| ~ spl72_274 ),
inference(subsumption_resolution,[],[f5777,f549]) ).
fof(f5777,plain,
( e22 = e23
| ~ spl72_53
| ~ spl72_274 ),
inference(superposition,[],[f1119,f5772]) ).
fof(f5772,plain,
( e22 = op2(e20,e21)
| ~ spl72_53
| ~ spl72_274 ),
inference(superposition,[],[f952,f1959]) ).
fof(f5741,plain,
~ spl72_431,
inference(avatar_contradiction_clause,[],[f5740]) ).
fof(f5740,plain,
( $false
| ~ spl72_431 ),
inference(subsumption_resolution,[],[f5733,f728]) ).
fof(f5733,plain,
( op2(e20,e20) != e22
| ~ spl72_431 ),
inference(superposition,[],[f352,f2763]) ).
fof(f2763,plain,
( e22 = op2(e23,e20)
| ~ spl72_431 ),
inference(avatar_component_clause,[],[f2761]) ).
fof(f2761,plain,
( spl72_431
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_431])]) ).
fof(f352,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f5628,plain,
( ~ spl72_233
| ~ spl72_274 ),
inference(avatar_contradiction_clause,[],[f5627]) ).
fof(f5627,plain,
( $false
| ~ spl72_233
| ~ spl72_274 ),
inference(subsumption_resolution,[],[f5626,f550]) ).
fof(f550,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f5626,plain,
( e20 = e23
| ~ spl72_233
| ~ spl72_274 ),
inference(forward_demodulation,[],[f1763,f1959]) ).
fof(f1763,plain,
( e23 = op2(e22,e21)
| ~ spl72_233 ),
inference(avatar_component_clause,[],[f1761]) ).
fof(f5619,plain,
( ~ spl72_150
| ~ spl72_385
| spl72_515 ),
inference(avatar_split_clause,[],[f5559,f3244,f2529,f1380]) ).
fof(f3244,plain,
( spl72_515
<=> e22 = op2(e22,h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_515])]) ).
fof(f5559,plain,
( e22 != op2(e22,e22)
| ~ spl72_385
| spl72_515 ),
inference(forward_demodulation,[],[f3246,f2530]) ).
fof(f3246,plain,
( e22 != op2(e22,h2(e12))
| spl72_515 ),
inference(avatar_component_clause,[],[f3244]) ).
fof(f5613,plain,
( ~ spl72_20
| spl72_293
| ~ spl72_478 ),
inference(avatar_contradiction_clause,[],[f5612]) ).
fof(f5612,plain,
( $false
| ~ spl72_20
| spl72_293
| ~ spl72_478 ),
inference(subsumption_resolution,[],[f5611,f811]) ).
fof(f5611,plain,
( e20 != op2(e20,e23)
| spl72_293
| ~ spl72_478 ),
inference(forward_demodulation,[],[f5518,f3022]) ).
fof(f5518,plain,
( e20 != op2(e20,h4(e12))
| spl72_293 ),
inference(forward_demodulation,[],[f2053,f188]) ).
fof(f2053,plain,
( e20 != op2(e20,op2(e23,e23))
| spl72_293 ),
inference(avatar_component_clause,[],[f2051]) ).
fof(f2051,plain,
( spl72_293
<=> e20 = op2(e20,op2(e23,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_293])]) ).
fof(f5606,plain,
( ~ spl72_50
| ~ spl72_478 ),
inference(avatar_split_clause,[],[f5605,f3021,f936]) ).
fof(f5605,plain,
( e23 != op2(e21,e23)
| ~ spl72_478 ),
inference(forward_demodulation,[],[f5468,f3022]) ).
fof(f5468,plain,
op2(e21,e23) != h4(e12),
inference(superposition,[],[f394,f188]) ).
fof(f394,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5601,plain,
( ~ spl72_159
| ~ spl72_160 ),
inference(avatar_contradiction_clause,[],[f5600]) ).
fof(f5600,plain,
( $false
| ~ spl72_159
| ~ spl72_160 ),
inference(subsumption_resolution,[],[f5599,f548]) ).
fof(f5599,plain,
( e20 = e22
| ~ spl72_159
| ~ spl72_160 ),
inference(forward_demodulation,[],[f1428,f1424]) ).
fof(f5590,plain,
~ spl72_61,
inference(avatar_contradiction_clause,[],[f5589]) ).
fof(f5589,plain,
( $false
| ~ spl72_61 ),
inference(subsumption_resolution,[],[f5588,f549]) ).
fof(f5588,plain,
( e22 = e23
| ~ spl72_61 ),
inference(forward_demodulation,[],[f989,f728]) ).
fof(f989,plain,
( op2(e20,e20) = e23
| ~ spl72_61 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f987,plain,
( spl72_61
<=> op2(e20,e20) = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_61])]) ).
fof(f5581,plain,
( ~ spl72_20
| ~ spl72_48 ),
inference(avatar_contradiction_clause,[],[f5580]) ).
fof(f5580,plain,
( $false
| ~ spl72_20
| ~ spl72_48 ),
inference(subsumption_resolution,[],[f5576,f811]) ).
fof(f5576,plain,
( e20 != op2(e20,e23)
| ~ spl72_48 ),
inference(superposition,[],[f379,f930]) ).
fof(f930,plain,
( e20 = op2(e21,e23)
| ~ spl72_48 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f379,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5553,plain,
( ~ spl72_135
| ~ spl72_227
| spl72_435 ),
inference(avatar_contradiction_clause,[],[f5552]) ).
fof(f5552,plain,
( $false
| ~ spl72_135
| ~ spl72_227
| spl72_435 ),
inference(subsumption_resolution,[],[f5512,f1732]) ).
fof(f5512,plain,
( e22 != op2(e22,e23)
| ~ spl72_135
| spl72_435 ),
inference(forward_demodulation,[],[f5511,f1316]) ).
fof(f5511,plain,
( e22 != op2(e22,h3(e12))
| spl72_435 ),
inference(forward_demodulation,[],[f2781,f346]) ).
fof(f2781,plain,
( e22 != op2(e22,op2(e22,e22))
| spl72_435 ),
inference(avatar_component_clause,[],[f2779]) ).
fof(f2779,plain,
( spl72_435
<=> e22 = op2(e22,op2(e22,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_435])]) ).
fof(f5535,plain,
( spl72_52
| ~ spl72_191
| ~ spl72_231 ),
inference(avatar_contradiction_clause,[],[f5534]) ).
fof(f5534,plain,
( $false
| spl72_52
| ~ spl72_191
| ~ spl72_231 ),
inference(subsumption_resolution,[],[f5533,f948]) ).
fof(f948,plain,
( e20 != e21
| spl72_52 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f946,plain,
( spl72_52
<=> e20 = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_52])]) ).
fof(f5533,plain,
( e20 = e21
| ~ spl72_191
| ~ spl72_231 ),
inference(forward_demodulation,[],[f1754,f1571]) ).
fof(f5521,plain,
( spl72_168
| ~ spl72_385
| ~ spl72_530 ),
inference(avatar_contradiction_clause,[],[f5520]) ).
fof(f5520,plain,
( $false
| spl72_168
| ~ spl72_385
| ~ spl72_530 ),
inference(subsumption_resolution,[],[f4746,f1464]) ).
fof(f1464,plain,
( e21 != op2(e22,e21)
| spl72_168 ),
inference(avatar_component_clause,[],[f1463]) ).
fof(f4746,plain,
( e21 = op2(e22,e21)
| ~ spl72_385
| ~ spl72_530 ),
inference(forward_demodulation,[],[f3350,f2530]) ).
fof(f5514,plain,
( spl72_168
| ~ spl72_353
| ~ spl72_385 ),
inference(avatar_split_clause,[],[f4748,f2529,f2345,f1463]) ).
fof(f4748,plain,
( e21 = op2(e22,e21)
| ~ spl72_353
| ~ spl72_385 ),
inference(forward_demodulation,[],[f4747,f2530]) ).
fof(f4747,plain,
( e21 = op2(h2(e12),e21)
| ~ spl72_353 ),
inference(forward_demodulation,[],[f2346,f168]) ).
fof(f2346,plain,
( e21 = op2(op2(e21,e21),e21)
| ~ spl72_353 ),
inference(avatar_component_clause,[],[f2345]) ).
fof(f5493,plain,
( ~ spl72_168
| spl72_235
| ~ spl72_273 ),
inference(avatar_contradiction_clause,[],[f5492]) ).
fof(f5492,plain,
( $false
| ~ spl72_168
| spl72_235
| ~ spl72_273 ),
inference(subsumption_resolution,[],[f5491,f1774]) ).
fof(f5491,plain,
( e21 = e22
| ~ spl72_168
| ~ spl72_273 ),
inference(forward_demodulation,[],[f1955,f1465]) ).
fof(f5485,plain,
( ~ spl72_128
| ~ spl72_298 ),
inference(avatar_split_clause,[],[f5430,f2076,f1282]) ).
fof(f5430,plain,
( e21 != op2(e20,e22)
| ~ spl72_298 ),
inference(superposition,[],[f363,f2078]) ).
fof(f2078,plain,
( e21 = op2(e21,e22)
| ~ spl72_298 ),
inference(avatar_component_clause,[],[f2076]) ).
fof(f363,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f5482,plain,
( ~ spl72_170
| ~ spl72_168 ),
inference(avatar_split_clause,[],[f5457,f1463,f1471]) ).
fof(f5457,plain,
( e21 != op2(e22,e20)
| ~ spl72_168 ),
inference(superposition,[],[f386,f1465]) ).
fof(f386,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f5479,plain,
spl72_128,
inference(avatar_split_clause,[],[f5474,f1282]) ).
fof(f5474,plain,
e21 = op2(e20,e22),
inference(superposition,[],[f729,f728]) ).
fof(f5478,plain,
( ~ spl72_20
| ~ spl72_226 ),
inference(avatar_split_clause,[],[f5453,f1726,f809]) ).
fof(f5453,plain,
( e20 != op2(e20,e23)
| ~ spl72_226 ),
inference(superposition,[],[f382,f1728]) ).
fof(f1728,plain,
( e20 = op2(e22,e23)
| ~ spl72_226 ),
inference(avatar_component_clause,[],[f1726]) ).
fof(f382,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f5477,plain,
( ~ spl72_20
| spl72_313
| ~ spl72_335 ),
inference(avatar_split_clause,[],[f4719,f2257,f2151,f809]) ).
fof(f2151,plain,
( spl72_313
<=> e20 = op2(e20,h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_313])]) ).
fof(f4719,plain,
( e20 != op2(e20,e23)
| spl72_313
| ~ spl72_335 ),
inference(forward_demodulation,[],[f2153,f2258]) ).
fof(f2153,plain,
( e20 != op2(e20,h1(e13))
| spl72_313 ),
inference(avatar_component_clause,[],[f2151]) ).
fof(f5311,plain,
( ~ spl72_192
| ~ spl72_318 ),
inference(avatar_contradiction_clause,[],[f5310]) ).
fof(f5310,plain,
( $false
| ~ spl72_192
| ~ spl72_318 ),
inference(subsumption_resolution,[],[f5309,f341]) ).
fof(f341,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f5309,plain,
( e10 = e12
| ~ spl72_192
| ~ spl72_318 ),
inference(forward_demodulation,[],[f1576,f2178]) ).
fof(f1576,plain,
( e12 = op1(e11,e11)
| ~ spl72_192 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1574,plain,
( spl72_192
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_192])]) ).
fof(f5305,plain,
( ~ spl72_258
| ~ spl72_512 ),
inference(avatar_contradiction_clause,[],[f5304]) ).
fof(f5304,plain,
( $false
| ~ spl72_258
| ~ spl72_512 ),
inference(subsumption_resolution,[],[f5301,f342]) ).
fof(f5301,plain,
( e10 = e13
| ~ spl72_258
| ~ spl72_512 ),
inference(superposition,[],[f1888,f3225]) ).
fof(f5290,plain,
( ~ spl72_163
| ~ spl72_470 ),
inference(avatar_contradiction_clause,[],[f5289]) ).
fof(f5289,plain,
( $false
| ~ spl72_163
| ~ spl72_470 ),
inference(subsumption_resolution,[],[f5283,f342]) ).
fof(f5283,plain,
( e10 = e13
| ~ spl72_163
| ~ spl72_470 ),
inference(superposition,[],[f2979,f1442]) ).
fof(f5266,plain,
( ~ spl72_429
| ~ spl72_440 ),
inference(avatar_contradiction_clause,[],[f5265]) ).
fof(f5265,plain,
( $false
| ~ spl72_429
| ~ spl72_440 ),
inference(subsumption_resolution,[],[f5261,f339]) ).
fof(f339,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f5261,plain,
( e11 = e12
| ~ spl72_429
| ~ spl72_440 ),
inference(superposition,[],[f2753,f2810]) ).
fof(f5246,plain,
( ~ spl72_318
| ~ spl72_467 ),
inference(avatar_contradiction_clause,[],[f5245]) ).
fof(f5245,plain,
( $false
| ~ spl72_318
| ~ spl72_467 ),
inference(subsumption_resolution,[],[f5239,f340]) ).
fof(f340,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f5239,plain,
( e10 = e11
| ~ spl72_318
| ~ spl72_467 ),
inference(superposition,[],[f2963,f2178]) ).
fof(f2963,plain,
( e11 = op1(e11,e11)
| ~ spl72_467 ),
inference(avatar_component_clause,[],[f2961]) ).
fof(f2961,plain,
( spl72_467
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_467])]) ).
fof(f5195,plain,
( ~ spl72_88
| ~ spl72_308 ),
inference(avatar_contradiction_clause,[],[f5194]) ).
fof(f5194,plain,
( $false
| ~ spl72_88
| ~ spl72_308 ),
inference(subsumption_resolution,[],[f5189,f342]) ).
fof(f5189,plain,
( e10 = e13
| ~ spl72_88
| ~ spl72_308 ),
inference(superposition,[],[f2130,f1104]) ).
fof(f1104,plain,
( e10 = op1(e12,e13)
| ~ spl72_88 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f1102,plain,
( spl72_88
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_88])]) ).
fof(f5166,plain,
( ~ spl72_90
| ~ spl72_258
| spl72_325 ),
inference(avatar_contradiction_clause,[],[f5165]) ).
fof(f5165,plain,
( $false
| ~ spl72_90
| ~ spl72_258
| spl72_325 ),
inference(subsumption_resolution,[],[f5164,f1112]) ).
fof(f5164,plain,
( e10 != op1(e10,e13)
| ~ spl72_258
| spl72_325 ),
inference(forward_demodulation,[],[f2216,f1888]) ).
fof(f2216,plain,
( e10 != op1(e10,op1(e13,e12))
| spl72_325 ),
inference(avatar_component_clause,[],[f2214]) ).
fof(f2214,plain,
( spl72_325
<=> e10 = op1(e10,op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_325])]) ).
fof(f5140,plain,
( ~ spl72_90
| ~ spl72_253 ),
inference(avatar_contradiction_clause,[],[f5139]) ).
fof(f5139,plain,
( $false
| ~ spl72_90
| ~ spl72_253 ),
inference(subsumption_resolution,[],[f5138,f340]) ).
fof(f5138,plain,
( e10 = e11
| ~ spl72_90
| ~ spl72_253 ),
inference(forward_demodulation,[],[f1865,f1112]) ).
fof(f1865,plain,
( e11 = op1(e10,e13)
| ~ spl72_253 ),
inference(avatar_component_clause,[],[f1863]) ).
fof(f1863,plain,
( spl72_253
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_253])]) ).
fof(f5129,plain,
( ~ spl72_390
| ~ spl72_399 ),
inference(avatar_contradiction_clause,[],[f5128]) ).
fof(f5128,plain,
( $false
| ~ spl72_390
| ~ spl72_399 ),
inference(subsumption_resolution,[],[f5127,f339]) ).
fof(f5127,plain,
( e11 = e12
| ~ spl72_390
| ~ spl72_399 ),
inference(forward_demodulation,[],[f2599,f2555]) ).
fof(f2599,plain,
( e12 = op1(e13,e10)
| ~ spl72_399 ),
inference(avatar_component_clause,[],[f2597]) ).
fof(f2597,plain,
( spl72_399
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_399])]) ).
fof(f5106,plain,
( ~ spl72_179
| ~ spl72_299 ),
inference(avatar_contradiction_clause,[],[f5105]) ).
fof(f5105,plain,
( $false
| ~ spl72_179
| ~ spl72_299 ),
inference(subsumption_resolution,[],[f5104,f344]) ).
fof(f5104,plain,
( e12 = e13
| ~ spl72_179
| ~ spl72_299 ),
inference(forward_demodulation,[],[f2084,f1514]) ).
fof(f5054,plain,
( spl72_253
| ~ spl72_334
| ~ spl72_390 ),
inference(avatar_contradiction_clause,[],[f5053]) ).
fof(f5053,plain,
( $false
| spl72_253
| ~ spl72_334
| ~ spl72_390 ),
inference(subsumption_resolution,[],[f5052,f1864]) ).
fof(f1864,plain,
( e11 != op1(e10,e13)
| spl72_253 ),
inference(avatar_component_clause,[],[f1863]) ).
fof(f5052,plain,
( e11 = op1(e10,e13)
| ~ spl72_334
| ~ spl72_390 ),
inference(forward_demodulation,[],[f2254,f2555]) ).
fof(f2254,plain,
( op1(e10,e13) = op1(e13,e10)
| ~ spl72_334 ),
inference(avatar_component_clause,[],[f2252]) ).
fof(f5041,plain,
( spl72_177
| ~ spl72_334
| ~ spl72_399 ),
inference(avatar_contradiction_clause,[],[f5040]) ).
fof(f5040,plain,
( $false
| spl72_177
| ~ spl72_334
| ~ spl72_399 ),
inference(subsumption_resolution,[],[f5039,f1505]) ).
fof(f5039,plain,
( e12 = op1(e10,e13)
| ~ spl72_334
| ~ spl72_399 ),
inference(forward_demodulation,[],[f2254,f2599]) ).
fof(f5023,plain,
( spl72_122
| ~ spl72_386 ),
inference(avatar_contradiction_clause,[],[f5022]) ).
fof(f5022,plain,
( $false
| spl72_122
| ~ spl72_386 ),
inference(subsumption_resolution,[],[f5021,f2536]) ).
fof(f5021,plain,
( e12 != op1(e12,e12)
| spl72_122
| ~ spl72_386 ),
inference(forward_demodulation,[],[f1257,f2536]) ).
fof(f4991,plain,
( ~ spl72_176
| ~ spl72_266 ),
inference(avatar_contradiction_clause,[],[f4990]) ).
fof(f4990,plain,
( $false
| ~ spl72_176
| ~ spl72_266 ),
inference(subsumption_resolution,[],[f4989,f339]) ).
fof(f4989,plain,
( e11 = e12
| ~ spl72_176
| ~ spl72_266 ),
inference(forward_demodulation,[],[f1502,f1922]) ).
fof(f4980,plain,
( ~ spl72_90
| ~ spl72_177 ),
inference(avatar_contradiction_clause,[],[f4979]) ).
fof(f4979,plain,
( $false
| ~ spl72_90
| ~ spl72_177 ),
inference(subsumption_resolution,[],[f4978,f341]) ).
fof(f4978,plain,
( e10 = e12
| ~ spl72_90
| ~ spl72_177 ),
inference(forward_demodulation,[],[f1506,f1112]) ).
fof(f1506,plain,
( e12 = op1(e10,e13)
| ~ spl72_177 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f4977,plain,
( ~ spl72_258
| ~ spl72_266
| ~ spl72_400 ),
inference(avatar_contradiction_clause,[],[f4976]) ).
fof(f4976,plain,
( $false
| ~ spl72_258
| ~ spl72_266
| ~ spl72_400 ),
inference(subsumption_resolution,[],[f4975,f343]) ).
fof(f4975,plain,
( e11 = e13
| ~ spl72_258
| ~ spl72_266
| ~ spl72_400 ),
inference(forward_demodulation,[],[f4974,f1922]) ).
fof(f4974,plain,
( e13 = op1(e12,e13)
| ~ spl72_258
| ~ spl72_400 ),
inference(forward_demodulation,[],[f2604,f1888]) ).
fof(f4965,plain,
( ~ spl72_194
| ~ spl72_258
| spl72_447 ),
inference(avatar_contradiction_clause,[],[f4964]) ).
fof(f4964,plain,
( $false
| ~ spl72_194
| ~ spl72_258
| spl72_447 ),
inference(subsumption_resolution,[],[f4963,f1888]) ).
fof(f4963,plain,
( e13 != op1(e13,e12)
| ~ spl72_194
| spl72_447 ),
inference(forward_demodulation,[],[f2845,f1584]) ).
fof(f2845,plain,
( e13 != op1(e13,op1(e11,e12))
| spl72_447 ),
inference(avatar_component_clause,[],[f2843]) ).
fof(f2843,plain,
( spl72_447
<=> e13 = op1(e13,op1(e11,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_447])]) ).
fof(f4897,plain,
( ~ spl72_193
| ~ spl72_317 ),
inference(avatar_contradiction_clause,[],[f4896]) ).
fof(f4896,plain,
( $false
| ~ spl72_193
| ~ spl72_317 ),
inference(subsumption_resolution,[],[f4895,f341]) ).
fof(f4895,plain,
( e10 = e12
| ~ spl72_193
| ~ spl72_317 ),
inference(forward_demodulation,[],[f1580,f2174]) ).
fof(f4892,plain,
( spl72_194
| ~ spl72_428
| ~ spl72_460 ),
inference(avatar_split_clause,[],[f4837,f2920,f2747,f1582]) ).
fof(f4837,plain,
( e12 = op1(e11,e12)
| ~ spl72_428
| ~ spl72_460 ),
inference(forward_demodulation,[],[f2922,f2749]) ).
fof(f4891,plain,
( ~ spl72_444
| ~ spl72_512 ),
inference(avatar_contradiction_clause,[],[f4890]) ).
fof(f4890,plain,
( $false
| ~ spl72_444
| ~ spl72_512 ),
inference(subsumption_resolution,[],[f4889,f341]) ).
fof(f4889,plain,
( e10 = e12
| ~ spl72_444
| ~ spl72_512 ),
inference(forward_demodulation,[],[f2830,f3225]) ).
fof(f4888,plain,
( ~ spl72_166
| ~ spl72_399 ),
inference(avatar_contradiction_clause,[],[f4887]) ).
fof(f4887,plain,
( $false
| ~ spl72_166
| ~ spl72_399 ),
inference(subsumption_resolution,[],[f4883,f344]) ).
fof(f4883,plain,
( e12 = e13
| ~ spl72_166
| ~ spl72_399 ),
inference(superposition,[],[f1454,f2599]) ).
fof(f4876,plain,
( ~ spl72_179
| ~ spl72_376 ),
inference(avatar_contradiction_clause,[],[f4875]) ).
fof(f4875,plain,
( $false
| ~ spl72_179
| ~ spl72_376 ),
inference(subsumption_resolution,[],[f4869,f339]) ).
fof(f4869,plain,
( e11 = e12
| ~ spl72_179
| ~ spl72_376 ),
inference(superposition,[],[f2484,f1514]) ).
fof(f4862,plain,
( ~ spl72_176
| ~ spl72_308 ),
inference(avatar_contradiction_clause,[],[f4861]) ).
fof(f4861,plain,
( $false
| ~ spl72_176
| ~ spl72_308 ),
inference(subsumption_resolution,[],[f4855,f344]) ).
fof(f4855,plain,
( e12 = e13
| ~ spl72_176
| ~ spl72_308 ),
inference(superposition,[],[f2130,f1502]) ).
fof(f4832,plain,
( ~ spl72_345
| ~ spl72_429 ),
inference(avatar_contradiction_clause,[],[f4831]) ).
fof(f4831,plain,
( $false
| ~ spl72_345
| ~ spl72_429 ),
inference(subsumption_resolution,[],[f4830,f341]) ).
fof(f4830,plain,
( e10 = e12
| ~ spl72_345
| ~ spl72_429 ),
inference(forward_demodulation,[],[f2753,f2307]) ).
fof(f4829,plain,
( ~ spl72_88
| ~ spl72_176 ),
inference(avatar_contradiction_clause,[],[f4828]) ).
fof(f4828,plain,
( $false
| ~ spl72_88
| ~ spl72_176 ),
inference(subsumption_resolution,[],[f4827,f341]) ).
fof(f4827,plain,
( e10 = e12
| ~ spl72_88
| ~ spl72_176 ),
inference(forward_demodulation,[],[f1502,f1104]) ).
fof(f4810,plain,
( ~ spl72_309
| ~ spl72_396 ),
inference(avatar_contradiction_clause,[],[f4809]) ).
fof(f4809,plain,
( $false
| ~ spl72_309
| ~ spl72_396 ),
inference(subsumption_resolution,[],[f4808,f343]) ).
fof(f4808,plain,
( e11 = e13
| ~ spl72_309
| ~ spl72_396 ),
inference(forward_demodulation,[],[f2134,f2586]) ).
fof(f4791,plain,
( spl72_88
| ~ spl72_400
| ~ spl72_512 ),
inference(avatar_contradiction_clause,[],[f4790]) ).
fof(f4790,plain,
( $false
| spl72_88
| ~ spl72_400
| ~ spl72_512 ),
inference(subsumption_resolution,[],[f4789,f1103]) ).
fof(f1103,plain,
( e10 != op1(e12,e13)
| spl72_88 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f4789,plain,
( e10 = op1(e12,e13)
| ~ spl72_400
| ~ spl72_512 ),
inference(forward_demodulation,[],[f2604,f3225]) ).
fof(f4788,plain,
( ~ spl72_90
| ~ spl72_334
| spl72_482 ),
inference(avatar_contradiction_clause,[],[f4787]) ).
fof(f4787,plain,
( $false
| ~ spl72_90
| ~ spl72_334
| spl72_482 ),
inference(subsumption_resolution,[],[f4786,f3044]) ).
fof(f3044,plain,
( e10 != op1(e13,e10)
| spl72_482 ),
inference(avatar_component_clause,[],[f3043]) ).
fof(f4786,plain,
( e10 = op1(e13,e10)
| ~ spl72_90
| ~ spl72_334 ),
inference(forward_demodulation,[],[f2254,f1112]) ).
fof(f4783,plain,
( ~ spl72_264
| ~ spl72_470 ),
inference(avatar_contradiction_clause,[],[f4782]) ).
fof(f4782,plain,
( $false
| ~ spl72_264
| ~ spl72_470 ),
inference(subsumption_resolution,[],[f4781,f340]) ).
fof(f4781,plain,
( e10 = e11
| ~ spl72_264
| ~ spl72_470 ),
inference(forward_demodulation,[],[f1914,f2979]) ).
fof(f4777,plain,
( spl72_254
| ~ spl72_397 ),
inference(avatar_split_clause,[],[f4767,f2589,f1867]) ).
fof(f4767,plain,
( e11 = op1(e10,e12)
| ~ spl72_397 ),
inference(superposition,[],[f192,f2591]) ).
fof(f4776,plain,
( ~ spl72_87
| ~ spl72_396 ),
inference(avatar_contradiction_clause,[],[f4775]) ).
fof(f4775,plain,
( $false
| ~ spl72_87
| ~ spl72_396 ),
inference(subsumption_resolution,[],[f4774,f340]) ).
fof(f4774,plain,
( e10 = e11
| ~ spl72_87
| ~ spl72_396 ),
inference(forward_demodulation,[],[f2586,f1100]) ).
fof(f4770,plain,
( ~ spl72_310
| ~ spl72_397 ),
inference(avatar_contradiction_clause,[],[f4769]) ).
fof(f4769,plain,
( $false
| ~ spl72_310
| ~ spl72_397 ),
inference(subsumption_resolution,[],[f4768,f340]) ).
fof(f4768,plain,
( e10 = e11
| ~ spl72_310
| ~ spl72_397 ),
inference(forward_demodulation,[],[f4767,f2139]) ).
fof(f2139,plain,
( e10 = op1(e10,e12)
| ~ spl72_310 ),
inference(avatar_component_clause,[],[f2137]) ).
fof(f2137,plain,
( spl72_310
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_310])]) ).
fof(f4754,plain,
( ~ spl72_150
| spl72_343
| ~ spl72_373 ),
inference(avatar_contradiction_clause,[],[f4753]) ).
fof(f4753,plain,
( $false
| ~ spl72_150
| spl72_343
| ~ spl72_373 ),
inference(subsumption_resolution,[],[f4752,f1382]) ).
fof(f4752,plain,
( e22 != op2(e22,e22)
| spl72_343
| ~ spl72_373 ),
inference(superposition,[],[f3431,f2468]) ).
fof(f2468,plain,
( e22 = h4(e12)
| ~ spl72_373 ),
inference(avatar_component_clause,[],[f2467]) ).
fof(f2467,plain,
( spl72_373
<=> e22 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_373])]) ).
fof(f3431,plain,
( e22 != op2(e22,h4(e12))
| spl72_343 ),
inference(forward_demodulation,[],[f2297,f188]) ).
fof(f2297,plain,
( e22 != op2(e22,op2(e23,e23))
| spl72_343 ),
inference(avatar_component_clause,[],[f2295]) ).
fof(f2295,plain,
( spl72_343
<=> e22 = op2(e22,op2(e23,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_343])]) ).
fof(f4745,plain,
( ~ spl72_168
| ~ spl72_385
| spl72_530 ),
inference(avatar_contradiction_clause,[],[f4744]) ).
fof(f4744,plain,
( $false
| ~ spl72_168
| ~ spl72_385
| spl72_530 ),
inference(subsumption_resolution,[],[f4743,f1465]) ).
fof(f4743,plain,
( e21 != op2(e22,e21)
| ~ spl72_385
| spl72_530 ),
inference(superposition,[],[f3349,f2530]) ).
fof(f4718,plain,
( ~ spl72_150
| spl72_435
| ~ spl72_510 ),
inference(avatar_contradiction_clause,[],[f4717]) ).
fof(f4717,plain,
( $false
| ~ spl72_150
| spl72_435
| ~ spl72_510 ),
inference(subsumption_resolution,[],[f4716,f1382]) ).
fof(f4716,plain,
( e22 != op2(e22,e22)
| spl72_435
| ~ spl72_510 ),
inference(forward_demodulation,[],[f4715,f3213]) ).
fof(f4715,plain,
( e22 != op2(e22,h3(e12))
| spl72_435 ),
inference(forward_demodulation,[],[f2781,f346]) ).
fof(f4690,plain,
( spl72_373
| ~ spl72_432 ),
inference(avatar_split_clause,[],[f4676,f2765,f2467]) ).
fof(f4676,plain,
( e22 = h4(e12)
| ~ spl72_432 ),
inference(superposition,[],[f2767,f188]) ).
fof(f4684,plain,
( ~ spl72_407
| ~ spl72_432 ),
inference(avatar_contradiction_clause,[],[f4683]) ).
fof(f4683,plain,
( $false
| ~ spl72_407
| ~ spl72_432 ),
inference(subsumption_resolution,[],[f4675,f549]) ).
fof(f4675,plain,
( e22 = e23
| ~ spl72_407
| ~ spl72_432 ),
inference(superposition,[],[f2767,f2640]) ).
fof(f4662,plain,
( ~ spl72_191
| ~ spl72_433 ),
inference(avatar_contradiction_clause,[],[f4661]) ).
fof(f4661,plain,
( $false
| ~ spl72_191
| ~ spl72_433 ),
inference(subsumption_resolution,[],[f4658,f548]) ).
fof(f4658,plain,
( e20 = e22
| ~ spl72_191
| ~ spl72_433 ),
inference(superposition,[],[f1571,f2771]) ).
fof(f4638,plain,
( ~ spl72_407
| spl72_478 ),
inference(avatar_contradiction_clause,[],[f4637]) ).
fof(f4637,plain,
( $false
| ~ spl72_407
| spl72_478 ),
inference(subsumption_resolution,[],[f4633,f3023]) ).
fof(f3023,plain,
( e23 != h4(e12)
| spl72_478 ),
inference(avatar_component_clause,[],[f3021]) ).
fof(f4633,plain,
( e23 = h4(e12)
| ~ spl72_407 ),
inference(superposition,[],[f188,f2640]) ).
fof(f4593,plain,
( ~ spl72_20
| spl72_52
| ~ spl72_117 ),
inference(avatar_contradiction_clause,[],[f4592]) ).
fof(f4592,plain,
( $false
| ~ spl72_20
| spl72_52
| ~ spl72_117 ),
inference(subsumption_resolution,[],[f4591,f948]) ).
fof(f4591,plain,
( e20 = e21
| ~ spl72_20
| ~ spl72_117 ),
inference(forward_demodulation,[],[f1233,f811]) ).
fof(f1233,plain,
( e21 = op2(e20,e23)
| ~ spl72_117 ),
inference(avatar_component_clause,[],[f1231]) ).
fof(f1231,plain,
( spl72_117
<=> e21 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_117])]) ).
fof(f4589,plain,
( ~ spl72_59
| ~ spl72_234 ),
inference(avatar_contradiction_clause,[],[f4588]) ).
fof(f4588,plain,
( $false
| ~ spl72_59
| ~ spl72_234 ),
inference(subsumption_resolution,[],[f4587,f545]) ).
fof(f4587,plain,
( e21 = e23
| ~ spl72_59
| ~ spl72_234 ),
inference(forward_demodulation,[],[f981,f1771]) ).
fof(f4576,plain,
( spl72_39
| ~ spl72_125 ),
inference(avatar_contradiction_clause,[],[f4575]) ).
fof(f4575,plain,
( $false
| spl72_39
| ~ spl72_125 ),
inference(subsumption_resolution,[],[f4569,f888]) ).
fof(f888,plain,
( e23 != h2(e12)
| spl72_39 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f4569,plain,
( e23 = h2(e12)
| ~ spl72_125 ),
inference(superposition,[],[f1270,f168]) ).
fof(f1270,plain,
( e23 = op2(e21,e21)
| ~ spl72_125 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1268,plain,
( spl72_125
<=> e23 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_125])]) ).
fof(f4562,plain,
( ~ spl72_159
| ~ spl72_161 ),
inference(avatar_contradiction_clause,[],[f4561]) ).
fof(f4561,plain,
( $false
| ~ spl72_159
| ~ spl72_161 ),
inference(subsumption_resolution,[],[f4560,f550]) ).
fof(f4560,plain,
( e20 = e23
| ~ spl72_159
| ~ spl72_161 ),
inference(forward_demodulation,[],[f1432,f1424]) ).
fof(f4538,plain,
( spl72_52
| ~ spl72_168
| ~ spl72_274 ),
inference(avatar_contradiction_clause,[],[f4537]) ).
fof(f4537,plain,
( $false
| spl72_52
| ~ spl72_168
| ~ spl72_274 ),
inference(subsumption_resolution,[],[f4536,f948]) ).
fof(f4536,plain,
( e20 = e21
| ~ spl72_168
| ~ spl72_274 ),
inference(forward_demodulation,[],[f1465,f1959]) ).
fof(f4525,plain,
( ~ spl72_232
| spl72_484 ),
inference(avatar_contradiction_clause,[],[f4524]) ).
fof(f4524,plain,
( $false
| ~ spl72_232
| spl72_484 ),
inference(subsumption_resolution,[],[f4519,f3057]) ).
fof(f3057,plain,
( e21 != h2(e12)
| spl72_484 ),
inference(avatar_component_clause,[],[f3055]) ).
fof(f4519,plain,
( e21 = h2(e12)
| ~ spl72_232 ),
inference(superposition,[],[f1758,f168]) ).
fof(f4516,plain,
( ~ spl72_59
| ~ spl72_228 ),
inference(avatar_contradiction_clause,[],[f4515]) ).
fof(f4515,plain,
( $false
| ~ spl72_59
| ~ spl72_228 ),
inference(subsumption_resolution,[],[f4510,f550]) ).
fof(f4510,plain,
( e20 = e23
| ~ spl72_59
| ~ spl72_228 ),
inference(superposition,[],[f1739,f981]) ).
fof(f4492,plain,
( spl72_510
| ~ spl72_150 ),
inference(avatar_split_clause,[],[f4485,f1380,f3212]) ).
fof(f4485,plain,
( e22 = h3(e12)
| ~ spl72_150 ),
inference(superposition,[],[f346,f1382]) ).
fof(f4480,plain,
( ~ spl72_124
| ~ spl72_426 ),
inference(avatar_contradiction_clause,[],[f4479]) ).
fof(f4479,plain,
( $false
| ~ spl72_124
| ~ spl72_426 ),
inference(subsumption_resolution,[],[f4478,f549]) ).
fof(f4478,plain,
( e22 = e23
| ~ spl72_124
| ~ spl72_426 ),
inference(forward_demodulation,[],[f1266,f2740]) ).
fof(f4474,plain,
( ~ spl72_128
| ~ spl72_201 ),
inference(avatar_contradiction_clause,[],[f4473]) ).
fof(f4473,plain,
( $false
| ~ spl72_128
| ~ spl72_201 ),
inference(subsumption_resolution,[],[f4472,f545]) ).
fof(f4472,plain,
( e21 = e23
| ~ spl72_128
| ~ spl72_201 ),
inference(forward_demodulation,[],[f1617,f1284]) ).
fof(f1617,plain,
( e23 = op2(e20,e22)
| ~ spl72_201 ),
inference(avatar_component_clause,[],[f1615]) ).
fof(f4471,plain,
( ~ spl72_231
| spl72_235
| ~ spl72_433 ),
inference(avatar_contradiction_clause,[],[f4470]) ).
fof(f4470,plain,
( $false
| ~ spl72_231
| spl72_235
| ~ spl72_433 ),
inference(subsumption_resolution,[],[f4469,f1774]) ).
fof(f4469,plain,
( e21 = e22
| ~ spl72_231
| ~ spl72_433 ),
inference(forward_demodulation,[],[f2771,f1754]) ).
fof(f4454,plain,
( ~ spl72_151
| ~ spl72_152 ),
inference(avatar_contradiction_clause,[],[f4453]) ).
fof(f4453,plain,
( $false
| ~ spl72_151
| ~ spl72_152 ),
inference(subsumption_resolution,[],[f4442,f550]) ).
fof(f4442,plain,
( e20 = e23
| ~ spl72_151
| ~ spl72_152 ),
inference(superposition,[],[f1386,f1390]) ).
fof(f1386,plain,
( e20 = op2(e22,e22)
| ~ spl72_151 ),
inference(avatar_component_clause,[],[f1384]) ).
fof(f1384,plain,
( spl72_151
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_151])]) ).
fof(f4452,plain,
( ~ spl72_151
| spl72_416 ),
inference(avatar_contradiction_clause,[],[f4451]) ).
fof(f4451,plain,
( $false
| ~ spl72_151
| spl72_416 ),
inference(subsumption_resolution,[],[f4443,f2687]) ).
fof(f2687,plain,
( e20 != h3(e12)
| spl72_416 ),
inference(avatar_component_clause,[],[f2685]) ).
fof(f4443,plain,
( e20 = h3(e12)
| ~ spl72_151 ),
inference(superposition,[],[f346,f1386]) ).
fof(f4428,plain,
( ~ spl72_124
| ~ spl72_158
| spl72_524 ),
inference(avatar_split_clause,[],[f4427,f3313,f1418,f1264]) ).
fof(f4427,plain,
( e23 != op2(e21,e22)
| ~ spl72_158
| spl72_524 ),
inference(forward_demodulation,[],[f3315,f1420]) ).
fof(f4425,plain,
( spl72_52
| ~ spl72_228
| ~ spl72_234 ),
inference(avatar_contradiction_clause,[],[f4424]) ).
fof(f4424,plain,
( $false
| spl72_52
| ~ spl72_228
| ~ spl72_234 ),
inference(subsumption_resolution,[],[f4423,f948]) ).
fof(f4423,plain,
( e20 = e21
| ~ spl72_228
| ~ spl72_234 ),
inference(forward_demodulation,[],[f1771,f1739]) ).
fof(f4417,plain,
( ~ spl72_304
| ~ spl72_335 ),
inference(avatar_contradiction_clause,[],[f4416]) ).
fof(f4416,plain,
( $false
| ~ spl72_304
| ~ spl72_335 ),
inference(subsumption_resolution,[],[f4415,f550]) ).
fof(f4415,plain,
( e20 = e23
| ~ spl72_304
| ~ spl72_335 ),
inference(forward_demodulation,[],[f2258,f2110]) ).
fof(f2110,plain,
( e20 = h1(e13)
| ~ spl72_304 ),
inference(avatar_component_clause,[],[f2108]) ).
fof(f2108,plain,
( spl72_304
<=> e20 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_304])]) ).
fof(f4404,plain,
( spl72_52
| ~ spl72_232
| ~ spl72_238 ),
inference(avatar_contradiction_clause,[],[f4403]) ).
fof(f4403,plain,
( $false
| spl72_52
| ~ spl72_232
| ~ spl72_238 ),
inference(subsumption_resolution,[],[f4402,f948]) ).
fof(f4402,plain,
( e20 = e21
| ~ spl72_232
| ~ spl72_238 ),
inference(forward_demodulation,[],[f1758,f1788]) ).
fof(f4399,plain,
( ~ spl72_189
| ~ spl72_407 ),
inference(avatar_contradiction_clause,[],[f4398]) ).
fof(f4398,plain,
( $false
| ~ spl72_189
| ~ spl72_407 ),
inference(subsumption_resolution,[],[f4397,f550]) ).
fof(f4397,plain,
( e20 = e23
| ~ spl72_189
| ~ spl72_407 ),
inference(forward_demodulation,[],[f2640,f1563]) ).
fof(f1563,plain,
( e20 = op2(e23,e23)
| ~ spl72_189 ),
inference(avatar_component_clause,[],[f1561]) ).
fof(f1561,plain,
( spl72_189
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_189])]) ).
fof(f4395,plain,
spl72_335,
inference(avatar_split_clause,[],[f4385,f2257]) ).
fof(f4385,plain,
e23 = h1(e13),
inference(superposition,[],[f925,f1119]) ).
fof(f4393,plain,
~ spl72_127,
inference(avatar_contradiction_clause,[],[f4392]) ).
fof(f4392,plain,
( $false
| ~ spl72_127 ),
inference(subsumption_resolution,[],[f4391,f545]) ).
fof(f4391,plain,
( e21 = e23
| ~ spl72_127 ),
inference(forward_demodulation,[],[f4387,f1280]) ).
fof(f1280,plain,
( e21 = h1(e13)
| ~ spl72_127 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f1278,plain,
( spl72_127
<=> e21 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_127])]) ).
fof(f4387,plain,
e23 = h1(e13),
inference(superposition,[],[f1119,f925]) ).
fof(f4381,plain,
( spl72_135
| ~ spl72_152 ),
inference(avatar_split_clause,[],[f4374,f1388,f1315]) ).
fof(f4374,plain,
( e23 = h3(e12)
| ~ spl72_152 ),
inference(superposition,[],[f1390,f346]) ).
fof(f4359,plain,
( ~ spl72_283
| ~ spl72_385 ),
inference(avatar_contradiction_clause,[],[f4358]) ).
fof(f4358,plain,
( $false
| ~ spl72_283
| ~ spl72_385 ),
inference(subsumption_resolution,[],[f4354,f548]) ).
fof(f4354,plain,
( e20 = e22
| ~ spl72_283
| ~ spl72_385 ),
inference(superposition,[],[f2002,f2530]) ).
fof(f4350,plain,
( spl72_283
| ~ spl72_238 ),
inference(avatar_split_clause,[],[f4346,f1786,f2001]) ).
fof(f4346,plain,
( e20 = h2(e12)
| ~ spl72_238 ),
inference(superposition,[],[f1788,f168]) ).
fof(f4341,plain,
( ~ spl72_166
| ~ spl72_482 ),
inference(avatar_contradiction_clause,[],[f4340]) ).
fof(f4340,plain,
( $false
| ~ spl72_166
| ~ spl72_482 ),
inference(subsumption_resolution,[],[f4337,f342]) ).
fof(f4337,plain,
( e10 = e13
| ~ spl72_166
| ~ spl72_482 ),
inference(superposition,[],[f1454,f3045]) ).
fof(f4333,plain,
( ~ spl72_398
| ~ spl72_470 ),
inference(avatar_contradiction_clause,[],[f4332]) ).
fof(f4332,plain,
( $false
| ~ spl72_398
| ~ spl72_470 ),
inference(subsumption_resolution,[],[f4327,f341]) ).
fof(f4327,plain,
( e10 = e12
| ~ spl72_398
| ~ spl72_470 ),
inference(superposition,[],[f2595,f2979]) ).
fof(f2595,plain,
( e12 = op1(e12,e10)
| ~ spl72_398 ),
inference(avatar_component_clause,[],[f2593]) ).
fof(f2593,plain,
( spl72_398
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_398])]) ).
fof(f4321,plain,
( ~ spl72_202
| ~ spl72_428 ),
inference(avatar_contradiction_clause,[],[f4320]) ).
fof(f4320,plain,
( $false
| ~ spl72_202
| ~ spl72_428 ),
inference(subsumption_resolution,[],[f4316,f344]) ).
fof(f4316,plain,
( e12 = e13
| ~ spl72_202
| ~ spl72_428 ),
inference(superposition,[],[f1622,f2749]) ).
fof(f4274,plain,
( ~ spl72_87
| ~ spl72_178 ),
inference(avatar_contradiction_clause,[],[f4273]) ).
fof(f4273,plain,
( $false
| ~ spl72_87
| ~ spl72_178 ),
inference(subsumption_resolution,[],[f4272,f341]) ).
fof(f4272,plain,
( e10 = e12
| ~ spl72_87
| ~ spl72_178 ),
inference(forward_demodulation,[],[f1510,f1100]) ).
fof(f4271,plain,
( ~ spl72_254
| ~ spl72_421 ),
inference(avatar_contradiction_clause,[],[f4270]) ).
fof(f4270,plain,
( $false
| ~ spl72_254
| ~ spl72_421 ),
inference(subsumption_resolution,[],[f4269,f339]) ).
fof(f4269,plain,
( e11 = e12
| ~ spl72_254
| ~ spl72_421 ),
inference(forward_demodulation,[],[f2716,f1869]) ).
fof(f2716,plain,
( e12 = op1(e10,e12)
| ~ spl72_421 ),
inference(avatar_component_clause,[],[f2714]) ).
fof(f2714,plain,
( spl72_421
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_421])]) ).
fof(f4268,plain,
( spl72_266
| ~ spl72_400
| ~ spl72_491 ),
inference(avatar_split_clause,[],[f4267,f3097,f2602,f1920]) ).
fof(f4267,plain,
( e11 = op1(e12,e13)
| ~ spl72_400
| ~ spl72_491 ),
inference(forward_demodulation,[],[f2604,f3099]) ).
fof(f3099,plain,
( e11 = op1(e13,e12)
| ~ spl72_491 ),
inference(avatar_component_clause,[],[f3097]) ).
fof(f4264,plain,
( spl72_255
| ~ spl72_391
| ~ spl72_394 ),
inference(avatar_contradiction_clause,[],[f4263]) ).
fof(f4263,plain,
( $false
| spl72_255
| ~ spl72_391
| ~ spl72_394 ),
inference(subsumption_resolution,[],[f4262,f1872]) ).
fof(f1872,plain,
( e11 != op1(e10,e11)
| spl72_255 ),
inference(avatar_component_clause,[],[f1871]) ).
fof(f1871,plain,
( spl72_255
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_255])]) ).
fof(f4262,plain,
( e11 = op1(e10,e11)
| ~ spl72_391
| ~ spl72_394 ),
inference(forward_demodulation,[],[f2576,f2559]) ).
fof(f4259,plain,
( ~ spl72_263
| ~ spl72_428 ),
inference(avatar_contradiction_clause,[],[f4258]) ).
fof(f4258,plain,
( $false
| ~ spl72_263
| ~ spl72_428 ),
inference(subsumption_resolution,[],[f4257,f339]) ).
fof(f4257,plain,
( e11 = e12
| ~ spl72_263
| ~ spl72_428 ),
inference(forward_demodulation,[],[f2749,f1910]) ).
fof(f4249,plain,
( ~ spl72_187
| ~ spl72_422 ),
inference(avatar_contradiction_clause,[],[f4248]) ).
fof(f4248,plain,
( $false
| ~ spl72_187
| ~ spl72_422 ),
inference(subsumption_resolution,[],[f4247,f344]) ).
fof(f4247,plain,
( e12 = e13
| ~ spl72_187
| ~ spl72_422 ),
inference(forward_demodulation,[],[f1554,f2720]) ).
fof(f2720,plain,
( e12 = op1(e10,e11)
| ~ spl72_422 ),
inference(avatar_component_clause,[],[f2718]) ).
fof(f4236,plain,
( ~ spl72_231
| ~ spl72_408 ),
inference(avatar_contradiction_clause,[],[f4235]) ).
fof(f4235,plain,
( $false
| ~ spl72_231
| ~ spl72_408 ),
inference(subsumption_resolution,[],[f4230,f545]) ).
fof(f4230,plain,
( e21 = e23
| ~ spl72_231
| ~ spl72_408 ),
inference(superposition,[],[f2644,f1754]) ).
fof(f4202,plain,
( ~ spl72_265
| ~ spl72_387 ),
inference(avatar_contradiction_clause,[],[f4201]) ).
fof(f4201,plain,
( $false
| ~ spl72_265
| ~ spl72_387 ),
inference(subsumption_resolution,[],[f4200,f340]) ).
fof(f4200,plain,
( e10 = e11
| ~ spl72_265
| ~ spl72_387 ),
inference(forward_demodulation,[],[f1918,f2540]) ).
fof(f1918,plain,
( e11 = op1(e12,e12)
| ~ spl72_265 ),
inference(avatar_component_clause,[],[f1916]) ).
fof(f1916,plain,
( spl72_265
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_265])]) ).
fof(f4197,plain,
( ~ spl72_345
| ~ spl72_440 ),
inference(avatar_contradiction_clause,[],[f4196]) ).
fof(f4196,plain,
( $false
| ~ spl72_345
| ~ spl72_440 ),
inference(subsumption_resolution,[],[f4195,f340]) ).
fof(f4195,plain,
( e10 = e11
| ~ spl72_345
| ~ spl72_440 ),
inference(forward_demodulation,[],[f2810,f2307]) ).
fof(f4192,plain,
( ~ spl72_444
| ~ spl72_491 ),
inference(avatar_contradiction_clause,[],[f4191]) ).
fof(f4191,plain,
( $false
| ~ spl72_444
| ~ spl72_491 ),
inference(subsumption_resolution,[],[f4190,f339]) ).
fof(f4190,plain,
( e11 = e12
| ~ spl72_444
| ~ spl72_491 ),
inference(forward_demodulation,[],[f2830,f3099]) ).
fof(f4189,plain,
( ~ spl72_266
| spl72_400
| ~ spl72_491 ),
inference(avatar_contradiction_clause,[],[f4188]) ).
fof(f4188,plain,
( $false
| ~ spl72_266
| spl72_400
| ~ spl72_491 ),
inference(subsumption_resolution,[],[f4187,f1922]) ).
fof(f4187,plain,
( e11 != op1(e12,e13)
| spl72_400
| ~ spl72_491 ),
inference(forward_demodulation,[],[f2603,f3099]) ).
fof(f4178,plain,
( ~ spl72_90
| ~ spl72_188 ),
inference(avatar_contradiction_clause,[],[f4177]) ).
fof(f4177,plain,
( $false
| ~ spl72_90
| ~ spl72_188 ),
inference(subsumption_resolution,[],[f4173,f342]) ).
fof(f4173,plain,
( e10 = e13
| ~ spl72_90
| ~ spl72_188 ),
inference(superposition,[],[f1558,f1112]) ).
fof(f1558,plain,
( e13 = op1(e10,e13)
| ~ spl72_188 ),
inference(avatar_component_clause,[],[f1556]) ).
fof(f1556,plain,
( spl72_188
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_188])]) ).
fof(f4156,plain,
( ~ spl72_87
| ~ spl72_130
| spl72_311 ),
inference(avatar_contradiction_clause,[],[f4155]) ).
fof(f4155,plain,
( $false
| ~ spl72_87
| ~ spl72_130
| spl72_311 ),
inference(subsumption_resolution,[],[f4098,f2142]) ).
fof(f2142,plain,
( e10 != op1(e10,e10)
| spl72_311 ),
inference(avatar_component_clause,[],[f2141]) ).
fof(f2141,plain,
( spl72_311
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_311])]) ).
fof(f4098,plain,
( e10 = op1(e10,e10)
| ~ spl72_87
| ~ spl72_130 ),
inference(forward_demodulation,[],[f1293,f1100]) ).
fof(f1293,plain,
( e10 = op1(e10,op1(e11,e13))
| ~ spl72_130 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f1292,plain,
( spl72_130
<=> e10 = op1(e10,op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_130])]) ).
fof(f4153,plain,
( ~ spl72_311
| ~ spl72_397 ),
inference(avatar_contradiction_clause,[],[f4152]) ).
fof(f4152,plain,
( $false
| ~ spl72_311
| ~ spl72_397 ),
inference(subsumption_resolution,[],[f4149,f341]) ).
fof(f4149,plain,
( e10 = e12
| ~ spl72_311
| ~ spl72_397 ),
inference(superposition,[],[f2591,f2143]) ).
fof(f2143,plain,
( e10 = op1(e10,e10)
| ~ spl72_311 ),
inference(avatar_component_clause,[],[f2141]) ).
fof(f4143,plain,
( ~ spl72_187
| ~ spl72_255 ),
inference(avatar_contradiction_clause,[],[f4142]) ).
fof(f4142,plain,
( $false
| ~ spl72_187
| ~ spl72_255 ),
inference(subsumption_resolution,[],[f4138,f343]) ).
fof(f4138,plain,
( e11 = e13
| ~ spl72_187
| ~ spl72_255 ),
inference(superposition,[],[f1873,f1554]) ).
fof(f1873,plain,
( e11 = op1(e10,e11)
| ~ spl72_255 ),
inference(avatar_component_clause,[],[f1871]) ).
fof(f4126,plain,
( ~ spl72_318
| spl72_359
| ~ spl72_391 ),
inference(avatar_contradiction_clause,[],[f4125]) ).
fof(f4125,plain,
( $false
| ~ spl72_318
| spl72_359
| ~ spl72_391 ),
inference(subsumption_resolution,[],[f4124,f2559]) ).
fof(f4124,plain,
( e11 != op1(e11,e10)
| ~ spl72_318
| spl72_359 ),
inference(forward_demodulation,[],[f2378,f2178]) ).
fof(f2378,plain,
( e11 != op1(e11,op1(e11,e11))
| spl72_359 ),
inference(avatar_component_clause,[],[f2376]) ).
fof(f2376,plain,
( spl72_359
<=> e11 = op1(e11,op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_359])]) ).
fof(f4120,plain,
( ~ spl72_204
| ~ spl72_318 ),
inference(avatar_contradiction_clause,[],[f4119]) ).
fof(f4119,plain,
( $false
| ~ spl72_204
| ~ spl72_318 ),
inference(subsumption_resolution,[],[f4118,f342]) ).
fof(f4118,plain,
( e10 = e13
| ~ spl72_204
| ~ spl72_318 ),
inference(forward_demodulation,[],[f1630,f2178]) ).
fof(f1630,plain,
( e13 = op1(e11,e11)
| ~ spl72_204 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f1628,plain,
( spl72_204
<=> e13 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_204])]) ).
fof(f4115,plain,
( ~ spl72_204
| ~ spl72_467 ),
inference(avatar_contradiction_clause,[],[f4114]) ).
fof(f4114,plain,
( $false
| ~ spl72_204
| ~ spl72_467 ),
inference(subsumption_resolution,[],[f4113,f343]) ).
fof(f4113,plain,
( e11 = e13
| ~ spl72_204
| ~ spl72_467 ),
inference(forward_demodulation,[],[f1630,f2963]) ).
fof(f4111,plain,
( spl72_359
| ~ spl72_467 ),
inference(avatar_contradiction_clause,[],[f4110]) ).
fof(f4110,plain,
( $false
| spl72_359
| ~ spl72_467 ),
inference(subsumption_resolution,[],[f4109,f2963]) ).
fof(f4109,plain,
( e11 != op1(e11,e11)
| spl72_359
| ~ spl72_467 ),
inference(forward_demodulation,[],[f2378,f2963]) ).
fof(f4101,plain,
( ~ spl72_266
| ~ spl72_308 ),
inference(avatar_contradiction_clause,[],[f4100]) ).
fof(f4100,plain,
( $false
| ~ spl72_266
| ~ spl72_308 ),
inference(subsumption_resolution,[],[f4099,f343]) ).
fof(f4099,plain,
( e11 = e13
| ~ spl72_266
| ~ spl72_308 ),
inference(forward_demodulation,[],[f2130,f1922]) ).
fof(f4091,plain,
( ~ spl72_165
| ~ spl72_391 ),
inference(avatar_contradiction_clause,[],[f4090]) ).
fof(f4090,plain,
( $false
| ~ spl72_165
| ~ spl72_391 ),
inference(subsumption_resolution,[],[f4089,f343]) ).
fof(f4089,plain,
( e11 = e13
| ~ spl72_165
| ~ spl72_391 ),
inference(forward_demodulation,[],[f1450,f2559]) ).
fof(f4069,plain,
( ~ spl72_386
| ~ spl72_387 ),
inference(avatar_contradiction_clause,[],[f4068]) ).
fof(f4068,plain,
( $false
| ~ spl72_386
| ~ spl72_387 ),
inference(subsumption_resolution,[],[f4067,f341]) ).
fof(f4067,plain,
( e10 = e12
| ~ spl72_386
| ~ spl72_387 ),
inference(forward_demodulation,[],[f2536,f2540]) ).
fof(f4058,plain,
( ~ spl72_265
| ~ spl72_386 ),
inference(avatar_contradiction_clause,[],[f4057]) ).
fof(f4057,plain,
( $false
| ~ spl72_265
| ~ spl72_386 ),
inference(subsumption_resolution,[],[f4056,f339]) ).
fof(f4056,plain,
( e11 = e12
| ~ spl72_265
| ~ spl72_386 ),
inference(forward_demodulation,[],[f2536,f1918]) ).
fof(f4055,plain,
( ~ spl72_194
| ~ spl72_260 ),
inference(avatar_contradiction_clause,[],[f4054]) ).
fof(f4054,plain,
( $false
| ~ spl72_194
| ~ spl72_260 ),
inference(subsumption_resolution,[],[f4051,f344]) ).
fof(f4051,plain,
( e12 = e13
| ~ spl72_194
| ~ spl72_260 ),
inference(superposition,[],[f1896,f1584]) ).
fof(f4045,plain,
( ~ spl72_192
| ~ spl72_467 ),
inference(avatar_contradiction_clause,[],[f4044]) ).
fof(f4044,plain,
( $false
| ~ spl72_192
| ~ spl72_467 ),
inference(subsumption_resolution,[],[f4043,f339]) ).
fof(f4043,plain,
( e11 = e12
| ~ spl72_192
| ~ spl72_467 ),
inference(forward_demodulation,[],[f1576,f2963]) ).
fof(f4030,plain,
( ~ spl72_193
| ~ spl72_391 ),
inference(avatar_contradiction_clause,[],[f4029]) ).
fof(f4029,plain,
( $false
| ~ spl72_193
| ~ spl72_391 ),
inference(subsumption_resolution,[],[f4028,f339]) ).
fof(f4028,plain,
( e11 = e12
| ~ spl72_193
| ~ spl72_391 ),
inference(forward_demodulation,[],[f1580,f2559]) ).
fof(f4019,plain,
( ~ spl72_317
| ~ spl72_391 ),
inference(avatar_contradiction_clause,[],[f4018]) ).
fof(f4018,plain,
( $false
| ~ spl72_317
| ~ spl72_391 ),
inference(subsumption_resolution,[],[f4017,f340]) ).
fof(f4017,plain,
( e10 = e11
| ~ spl72_317
| ~ spl72_391 ),
inference(forward_demodulation,[],[f2559,f2174]) ).
fof(f4013,plain,
( ~ spl72_163
| ~ spl72_398 ),
inference(avatar_contradiction_clause,[],[f4012]) ).
fof(f4012,plain,
( $false
| ~ spl72_163
| ~ spl72_398 ),
inference(subsumption_resolution,[],[f4011,f344]) ).
fof(f4011,plain,
( e12 = e13
| ~ spl72_163
| ~ spl72_398 ),
inference(forward_demodulation,[],[f1442,f2595]) ).
fof(f4008,plain,
( ~ spl72_299
| ~ spl72_376 ),
inference(avatar_contradiction_clause,[],[f4007]) ).
fof(f4007,plain,
( $false
| ~ spl72_299
| ~ spl72_376 ),
inference(subsumption_resolution,[],[f4006,f343]) ).
fof(f4006,plain,
( e11 = e13
| ~ spl72_299
| ~ spl72_376 ),
inference(forward_demodulation,[],[f2084,f2484]) ).
fof(f3999,plain,
( ~ spl72_258
| ~ spl72_444 ),
inference(avatar_contradiction_clause,[],[f3998]) ).
fof(f3998,plain,
( $false
| ~ spl72_258
| ~ spl72_444 ),
inference(subsumption_resolution,[],[f3997,f344]) ).
fof(f3997,plain,
( e12 = e13
| ~ spl72_258
| ~ spl72_444 ),
inference(forward_demodulation,[],[f1888,f2830]) ).
fof(f3996,plain,
( ~ spl72_164
| ~ spl72_397 ),
inference(avatar_contradiction_clause,[],[f3995]) ).
fof(f3995,plain,
( $false
| ~ spl72_164
| ~ spl72_397 ),
inference(subsumption_resolution,[],[f3994,f344]) ).
fof(f3994,plain,
( e12 = e13
| ~ spl72_164
| ~ spl72_397 ),
inference(forward_demodulation,[],[f1446,f2591]) ).
fof(f1446,plain,
( op1(e10,e10) = e13
| ~ spl72_164 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f1444,plain,
( spl72_164
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_164])]) ).
fof(f3993,plain,
( ~ spl72_264
| ~ spl72_398 ),
inference(avatar_contradiction_clause,[],[f3992]) ).
fof(f3992,plain,
( $false
| ~ spl72_264
| ~ spl72_398 ),
inference(subsumption_resolution,[],[f3988,f339]) ).
fof(f3988,plain,
( e11 = e12
| ~ spl72_264
| ~ spl72_398 ),
inference(superposition,[],[f2595,f1914]) ).
fof(f3985,plain,
( ~ spl72_252
| ~ spl72_397 ),
inference(avatar_contradiction_clause,[],[f3984]) ).
fof(f3984,plain,
( $false
| ~ spl72_252
| ~ spl72_397 ),
inference(subsumption_resolution,[],[f3979,f339]) ).
fof(f3979,plain,
( e11 = e12
| ~ spl72_252
| ~ spl72_397 ),
inference(superposition,[],[f2591,f1861]) ).
fof(f1861,plain,
( op1(e10,e10) = e11
| ~ spl72_252 ),
inference(avatar_component_clause,[],[f1859]) ).
fof(f1859,plain,
( spl72_252
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_252])]) ).
fof(f3974,plain,
( ~ spl72_259
| ~ spl72_265 ),
inference(avatar_contradiction_clause,[],[f3973]) ).
fof(f3973,plain,
( $false
| ~ spl72_259
| ~ spl72_265 ),
inference(subsumption_resolution,[],[f3970,f343]) ).
fof(f3970,plain,
( e11 = e13
| ~ spl72_259
| ~ spl72_265 ),
inference(superposition,[],[f1892,f1918]) ).
fof(f3965,plain,
( ~ spl72_163
| ~ spl72_264 ),
inference(avatar_contradiction_clause,[],[f3964]) ).
fof(f3964,plain,
( $false
| ~ spl72_163
| ~ spl72_264 ),
inference(subsumption_resolution,[],[f3961,f343]) ).
fof(f3961,plain,
( e11 = e13
| ~ spl72_163
| ~ spl72_264 ),
inference(superposition,[],[f1442,f1914]) ).
fof(f3953,plain,
( ~ spl72_260
| ~ spl72_269 ),
inference(avatar_contradiction_clause,[],[f3952]) ).
fof(f3952,plain,
( $false
| ~ spl72_260
| ~ spl72_269 ),
inference(subsumption_resolution,[],[f3951,f342]) ).
fof(f3951,plain,
( e10 = e13
| ~ spl72_260
| ~ spl72_269 ),
inference(forward_demodulation,[],[f1896,f1936]) ).
fof(f3948,plain,
( ~ spl72_178
| ~ spl72_396 ),
inference(avatar_contradiction_clause,[],[f3947]) ).
fof(f3947,plain,
( $false
| ~ spl72_178
| ~ spl72_396 ),
inference(subsumption_resolution,[],[f3943,f339]) ).
fof(f3943,plain,
( e11 = e12
| ~ spl72_178
| ~ spl72_396 ),
inference(superposition,[],[f1510,f2586]) ).
fof(f3935,plain,
( ~ spl72_491
| ~ spl72_512 ),
inference(avatar_contradiction_clause,[],[f3934]) ).
fof(f3934,plain,
( $false
| ~ spl72_491
| ~ spl72_512 ),
inference(subsumption_resolution,[],[f3933,f340]) ).
fof(f3933,plain,
( e10 = e11
| ~ spl72_491
| ~ spl72_512 ),
inference(forward_demodulation,[],[f3099,f3225]) ).
fof(f3932,plain,
( ~ spl72_166
| ~ spl72_390 ),
inference(avatar_contradiction_clause,[],[f3931]) ).
fof(f3931,plain,
( $false
| ~ spl72_166
| ~ spl72_390 ),
inference(subsumption_resolution,[],[f3928,f343]) ).
fof(f3928,plain,
( e11 = e13
| ~ spl72_166
| ~ spl72_390 ),
inference(superposition,[],[f1454,f2555]) ).
fof(f3922,plain,
( ~ spl72_259
| ~ spl72_387 ),
inference(avatar_contradiction_clause,[],[f3921]) ).
fof(f3921,plain,
( $false
| ~ spl72_259
| ~ spl72_387 ),
inference(subsumption_resolution,[],[f3916,f342]) ).
fof(f3916,plain,
( e10 = e13
| ~ spl72_259
| ~ spl72_387 ),
inference(superposition,[],[f2540,f1892]) ).
fof(f3912,plain,
( ~ spl72_59
| ~ spl72_366 ),
inference(avatar_contradiction_clause,[],[f3911]) ).
fof(f3911,plain,
( $false
| ~ spl72_59
| ~ spl72_366 ),
inference(subsumption_resolution,[],[f3908,f549]) ).
fof(f3908,plain,
( e22 = e23
| ~ spl72_59
| ~ spl72_366 ),
inference(superposition,[],[f981,f2416]) ).
fof(f3895,plain,
( ~ spl72_186
| ~ spl72_254 ),
inference(avatar_contradiction_clause,[],[f3894]) ).
fof(f3894,plain,
( $false
| ~ spl72_186
| ~ spl72_254 ),
inference(subsumption_resolution,[],[f3889,f343]) ).
fof(f3889,plain,
( e11 = e13
| ~ spl72_186
| ~ spl72_254 ),
inference(superposition,[],[f1869,f1550]) ).
fof(f1550,plain,
( e13 = op1(e10,e12)
| ~ spl72_186 ),
inference(avatar_component_clause,[],[f1548]) ).
fof(f1548,plain,
( spl72_186
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_186])]) ).
fof(f3876,plain,
( ~ spl72_165
| ~ spl72_317 ),
inference(avatar_contradiction_clause,[],[f3875]) ).
fof(f3875,plain,
( $false
| ~ spl72_165
| ~ spl72_317 ),
inference(subsumption_resolution,[],[f3871,f342]) ).
fof(f3871,plain,
( e10 = e13
| ~ spl72_165
| ~ spl72_317 ),
inference(superposition,[],[f2174,f1450]) ).
fof(f3849,plain,
( ~ spl72_263
| ~ spl72_346 ),
inference(avatar_contradiction_clause,[],[f3848]) ).
fof(f3848,plain,
( $false
| ~ spl72_263
| ~ spl72_346 ),
inference(subsumption_resolution,[],[f3847,f340]) ).
fof(f3847,plain,
( e10 = e11
| ~ spl72_263
| ~ spl72_346 ),
inference(forward_demodulation,[],[f1910,f2311]) ).
fof(f3838,plain,
( ~ spl72_202
| ~ spl72_346 ),
inference(avatar_contradiction_clause,[],[f3837]) ).
fof(f3837,plain,
( $false
| ~ spl72_202
| ~ spl72_346 ),
inference(subsumption_resolution,[],[f3836,f342]) ).
fof(f3836,plain,
( e10 = e13
| ~ spl72_202
| ~ spl72_346 ),
inference(forward_demodulation,[],[f1622,f2311]) ).
fof(f3833,plain,
( ~ spl72_202
| ~ spl72_263 ),
inference(avatar_contradiction_clause,[],[f3832]) ).
fof(f3832,plain,
( $false
| ~ spl72_202
| ~ spl72_263 ),
inference(subsumption_resolution,[],[f3831,f343]) ).
fof(f3831,plain,
( e11 = e13
| ~ spl72_202
| ~ spl72_263 ),
inference(forward_demodulation,[],[f1622,f1910]) ).
fof(f3817,plain,
( ~ spl72_88
| ~ spl72_266 ),
inference(avatar_contradiction_clause,[],[f3816]) ).
fof(f3816,plain,
( $false
| ~ spl72_88
| ~ spl72_266 ),
inference(subsumption_resolution,[],[f3815,f340]) ).
fof(f3815,plain,
( e10 = e11
| ~ spl72_88
| ~ spl72_266 ),
inference(forward_demodulation,[],[f1922,f1104]) ).
fof(f3814,plain,
( ~ spl72_89
| ~ spl72_299 ),
inference(avatar_contradiction_clause,[],[f3813]) ).
fof(f3813,plain,
( $false
| ~ spl72_89
| ~ spl72_299 ),
inference(subsumption_resolution,[],[f3812,f342]) ).
fof(f3812,plain,
( e10 = e13
| ~ spl72_89
| ~ spl72_299 ),
inference(forward_demodulation,[],[f2084,f1108]) ).
fof(f1108,plain,
( e10 = op1(e13,e13)
| ~ spl72_89 ),
inference(avatar_component_clause,[],[f1106]) ).
fof(f1106,plain,
( spl72_89
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_89])]) ).
fof(f3800,plain,
( ~ spl72_178
| ~ spl72_309 ),
inference(avatar_contradiction_clause,[],[f3799]) ).
fof(f3799,plain,
( $false
| ~ spl72_178
| ~ spl72_309 ),
inference(subsumption_resolution,[],[f3795,f344]) ).
fof(f3795,plain,
( e12 = e13
| ~ spl72_178
| ~ spl72_309 ),
inference(superposition,[],[f1510,f2134]) ).
fof(f3769,plain,
( ~ spl72_124
| ~ spl72_237 ),
inference(avatar_contradiction_clause,[],[f3768]) ).
fof(f3768,plain,
( $false
| ~ spl72_124
| ~ spl72_237 ),
inference(subsumption_resolution,[],[f3764,f550]) ).
fof(f3764,plain,
( e20 = e23
| ~ spl72_124
| ~ spl72_237 ),
inference(superposition,[],[f1784,f1266]) ).
fof(f3757,plain,
~ spl72_22,
inference(avatar_contradiction_clause,[],[f3756]) ).
fof(f3756,plain,
( $false
| ~ spl72_22 ),
inference(subsumption_resolution,[],[f3753,f550]) ).
fof(f3753,plain,
( e20 = e23
| ~ spl72_22 ),
inference(superposition,[],[f1119,f819]) ).
fof(f819,plain,
( e20 = op2(e20,e21)
| ~ spl72_22 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f817,plain,
( spl72_22
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_22])]) ).
fof(f3750,plain,
~ spl72_21,
inference(avatar_contradiction_clause,[],[f3749]) ).
fof(f3749,plain,
( $false
| ~ spl72_21 ),
inference(subsumption_resolution,[],[f3746,f548]) ).
fof(f3746,plain,
( e20 = e22
| ~ spl72_21 ),
inference(superposition,[],[f728,f815]) ).
fof(f815,plain,
( e20 = op2(e20,e20)
| ~ spl72_21 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f813,plain,
( spl72_21
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_21])]) ).
fof(f3744,plain,
( ~ spl72_19
| spl72_52
| ~ spl72_128 ),
inference(avatar_contradiction_clause,[],[f3743]) ).
fof(f3743,plain,
( $false
| ~ spl72_19
| spl72_52
| ~ spl72_128 ),
inference(subsumption_resolution,[],[f3742,f948]) ).
fof(f3742,plain,
( e20 = e21
| ~ spl72_19
| ~ spl72_128 ),
inference(forward_demodulation,[],[f1284,f807]) ).
fof(f807,plain,
( e20 = op2(e20,e22)
| ~ spl72_19 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f805,plain,
( spl72_19
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_19])]) ).
fof(f3709,plain,
( ~ spl72_20
| ~ spl72_377 ),
inference(avatar_contradiction_clause,[],[f3708]) ).
fof(f3708,plain,
( $false
| ~ spl72_20
| ~ spl72_377 ),
inference(subsumption_resolution,[],[f3707,f549]) ).
fof(f3707,plain,
( e22 = e23
| ~ spl72_20
| ~ spl72_377 ),
inference(forward_demodulation,[],[f3706,f728]) ).
fof(f3706,plain,
( op2(e20,e20) = e23
| ~ spl72_20
| ~ spl72_377 ),
inference(forward_demodulation,[],[f2489,f811]) ).
fof(f2489,plain,
( e23 = op2(op2(e20,e23),e20)
| ~ spl72_377 ),
inference(avatar_component_clause,[],[f2487]) ).
fof(f2487,plain,
( spl72_377
<=> e23 = op2(op2(e20,e23),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_377])]) ).
fof(f3704,plain,
( ~ spl72_20
| ~ spl72_116 ),
inference(avatar_contradiction_clause,[],[f3703]) ).
fof(f3703,plain,
( $false
| ~ spl72_20
| ~ spl72_116 ),
inference(subsumption_resolution,[],[f3702,f550]) ).
fof(f3702,plain,
( e20 = e23
| ~ spl72_20
| ~ spl72_116 ),
inference(forward_demodulation,[],[f1229,f811]) ).
fof(f1229,plain,
( e23 = op2(e20,e23)
| ~ spl72_116 ),
inference(avatar_component_clause,[],[f1227]) ).
fof(f1227,plain,
( spl72_116
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_116])]) ).
fof(f3701,plain,
( ~ spl72_273
| ~ spl72_274 ),
inference(avatar_contradiction_clause,[],[f3700]) ).
fof(f3700,plain,
( $false
| ~ spl72_273
| ~ spl72_274 ),
inference(subsumption_resolution,[],[f3699,f548]) ).
fof(f3699,plain,
( e20 = e22
| ~ spl72_273
| ~ spl72_274 ),
inference(forward_demodulation,[],[f1955,f1959]) ).
fof(f3693,plain,
( ~ spl72_150
| ~ spl72_152 ),
inference(avatar_contradiction_clause,[],[f3692]) ).
fof(f3692,plain,
( $false
| ~ spl72_150
| ~ spl72_152 ),
inference(subsumption_resolution,[],[f3691,f549]) ).
fof(f3691,plain,
( e22 = e23
| ~ spl72_150
| ~ spl72_152 ),
inference(forward_demodulation,[],[f1390,f1382]) ).
fof(f3690,plain,
( ~ spl72_169
| ~ spl72_227
| spl72_235 ),
inference(avatar_contradiction_clause,[],[f3689]) ).
fof(f3689,plain,
( $false
| ~ spl72_169
| ~ spl72_227
| spl72_235 ),
inference(subsumption_resolution,[],[f3688,f1774]) ).
fof(f3688,plain,
( e21 = e22
| ~ spl72_169
| ~ spl72_227 ),
inference(forward_demodulation,[],[f1732,f1469]) ).
fof(f3685,plain,
( ~ spl72_189
| ~ spl72_432 ),
inference(avatar_contradiction_clause,[],[f3684]) ).
fof(f3684,plain,
( $false
| ~ spl72_189
| ~ spl72_432 ),
inference(subsumption_resolution,[],[f3683,f548]) ).
fof(f3683,plain,
( e20 = e22
| ~ spl72_189
| ~ spl72_432 ),
inference(forward_demodulation,[],[f2767,f1563]) ).
fof(f3681,plain,
( ~ spl72_169
| ~ spl72_225 ),
inference(avatar_contradiction_clause,[],[f3680]) ).
fof(f3680,plain,
( $false
| ~ spl72_169
| ~ spl72_225 ),
inference(subsumption_resolution,[],[f3679,f545]) ).
fof(f3679,plain,
( e21 = e23
| ~ spl72_169
| ~ spl72_225 ),
inference(forward_demodulation,[],[f1724,f1469]) ).
fof(f3676,plain,
( ~ spl72_62
| ~ spl72_229 ),
inference(avatar_contradiction_clause,[],[f3675]) ).
fof(f3675,plain,
( $false
| ~ spl72_62
| ~ spl72_229 ),
inference(subsumption_resolution,[],[f3674,f550]) ).
fof(f3674,plain,
( e20 = e23
| ~ spl72_62
| ~ spl72_229 ),
inference(forward_demodulation,[],[f993,f1743]) ).
fof(f3673,plain,
( ~ spl72_49
| ~ spl72_50 ),
inference(avatar_contradiction_clause,[],[f3672]) ).
fof(f3672,plain,
( $false
| ~ spl72_49
| ~ spl72_50 ),
inference(subsumption_resolution,[],[f3666,f545]) ).
fof(f3666,plain,
( e21 = e23
| ~ spl72_49
| ~ spl72_50 ),
inference(superposition,[],[f934,f938]) ).
fof(f3660,plain,
( ~ spl72_225
| ~ spl72_227 ),
inference(avatar_contradiction_clause,[],[f3659]) ).
fof(f3659,plain,
( $false
| ~ spl72_225
| ~ spl72_227 ),
inference(subsumption_resolution,[],[f3658,f549]) ).
fof(f3658,plain,
( e22 = e23
| ~ spl72_225
| ~ spl72_227 ),
inference(forward_demodulation,[],[f1724,f1732]) ).
fof(f3655,plain,
( spl72_52
| ~ spl72_190
| ~ spl72_236 ),
inference(avatar_contradiction_clause,[],[f3654]) ).
fof(f3654,plain,
( $false
| spl72_52
| ~ spl72_190
| ~ spl72_236 ),
inference(subsumption_resolution,[],[f3650,f948]) ).
fof(f3650,plain,
( e20 = e21
| ~ spl72_190
| ~ spl72_236 ),
inference(superposition,[],[f1567,f1779]) ).
fof(f3649,plain,
( ~ spl72_433
| spl72_53
| ~ spl72_233 ),
inference(avatar_split_clause,[],[f3482,f1761,f951,f2769]) ).
fof(f3482,plain,
( e22 != op2(e23,e21)
| spl72_53
| ~ spl72_233 ),
inference(forward_demodulation,[],[f953,f1763]) ).
fof(f3647,plain,
( ~ spl72_191
| ~ spl72_408 ),
inference(avatar_contradiction_clause,[],[f3646]) ).
fof(f3646,plain,
( $false
| ~ spl72_191
| ~ spl72_408 ),
inference(subsumption_resolution,[],[f3645,f550]) ).
fof(f3645,plain,
( e20 = e23
| ~ spl72_191
| ~ spl72_408 ),
inference(forward_demodulation,[],[f2644,f1571]) ).
fof(f3644,plain,
( ~ spl72_197
| ~ spl72_407 ),
inference(avatar_contradiction_clause,[],[f3643]) ).
fof(f3643,plain,
( $false
| ~ spl72_197
| ~ spl72_407 ),
inference(subsumption_resolution,[],[f3642,f545]) ).
fof(f3642,plain,
( e21 = e23
| ~ spl72_197
| ~ spl72_407 ),
inference(forward_demodulation,[],[f2640,f1598]) ).
fof(f3640,plain,
( ~ spl72_160
| ~ spl72_161 ),
inference(avatar_contradiction_clause,[],[f3639]) ).
fof(f3639,plain,
( $false
| ~ spl72_160
| ~ spl72_161 ),
inference(subsumption_resolution,[],[f3638,f549]) ).
fof(f3638,plain,
( e22 = e23
| ~ spl72_160
| ~ spl72_161 ),
inference(forward_demodulation,[],[f1432,f1428]) ).
fof(f3636,plain,
( ~ spl72_60
| ~ spl72_236 ),
inference(avatar_contradiction_clause,[],[f3635]) ).
fof(f3635,plain,
( $false
| ~ spl72_60
| ~ spl72_236 ),
inference(subsumption_resolution,[],[f3630,f545]) ).
fof(f3630,plain,
( e21 = e23
| ~ spl72_60
| ~ spl72_236 ),
inference(superposition,[],[f1779,f985]) ).
fof(f3620,plain,
( spl72_52
| ~ spl72_170
| ~ spl72_229 ),
inference(avatar_contradiction_clause,[],[f3619]) ).
fof(f3619,plain,
( $false
| spl72_52
| ~ spl72_170
| ~ spl72_229 ),
inference(subsumption_resolution,[],[f3616,f948]) ).
fof(f3616,plain,
( e20 = e21
| ~ spl72_170
| ~ spl72_229 ),
inference(superposition,[],[f1473,f1743]) ).
fof(f3597,plain,
( ~ spl72_158
| ~ spl72_160
| spl72_235 ),
inference(avatar_contradiction_clause,[],[f3596]) ).
fof(f3596,plain,
( $false
| ~ spl72_158
| ~ spl72_160
| spl72_235 ),
inference(subsumption_resolution,[],[f3592,f1774]) ).
fof(f3592,plain,
( e21 = e22
| ~ spl72_158
| ~ spl72_160 ),
inference(superposition,[],[f1428,f1420]) ).
fof(f3589,plain,
( ~ spl72_228
| ~ spl72_366 ),
inference(avatar_contradiction_clause,[],[f3588]) ).
fof(f3588,plain,
( $false
| ~ spl72_228
| ~ spl72_366 ),
inference(subsumption_resolution,[],[f3587,f548]) ).
fof(f3587,plain,
( e20 = e22
| ~ spl72_228
| ~ spl72_366 ),
inference(forward_demodulation,[],[f2416,f1739]) ).
fof(f3583,plain,
( ~ spl72_50
| ~ spl72_51 ),
inference(avatar_contradiction_clause,[],[f3582]) ).
fof(f3582,plain,
( $false
| ~ spl72_50
| ~ spl72_51 ),
inference(subsumption_resolution,[],[f3576,f549]) ).
fof(f3576,plain,
( e22 = e23
| ~ spl72_50
| ~ spl72_51 ),
inference(superposition,[],[f942,f938]) ).
fof(f3567,plain,
( spl72_203
| ~ spl72_172
| ~ spl72_309 ),
inference(avatar_split_clause,[],[f3566,f2132,f1480,f1624]) ).
fof(f1480,plain,
( spl72_172
<=> op1(e11,e13) = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_172])]) ).
fof(f3566,plain,
( e13 = op1(e13,e11)
| ~ spl72_172
| ~ spl72_309 ),
inference(forward_demodulation,[],[f1482,f2134]) ).
fof(f1482,plain,
( op1(e11,e13) = op1(e13,e11)
| ~ spl72_172 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f3559,plain,
( ~ spl72_192
| ~ spl72_204 ),
inference(avatar_contradiction_clause,[],[f3558]) ).
fof(f3558,plain,
( $false
| ~ spl72_192
| ~ spl72_204 ),
inference(subsumption_resolution,[],[f3557,f344]) ).
fof(f3557,plain,
( e12 = e13
| ~ spl72_192
| ~ spl72_204 ),
inference(forward_demodulation,[],[f1630,f1576]) ).
fof(f3539,plain,
( ~ spl72_90
| spl72_130
| ~ spl72_309 ),
inference(avatar_split_clause,[],[f3538,f2132,f1292,f1110]) ).
fof(f3538,plain,
( e10 != op1(e10,e13)
| spl72_130
| ~ spl72_309 ),
inference(forward_demodulation,[],[f1294,f2134]) ).
fof(f1294,plain,
( e10 != op1(e10,op1(e11,e13))
| spl72_130 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f3523,plain,
( spl72_52
| ~ spl72_189
| ~ spl72_197 ),
inference(avatar_contradiction_clause,[],[f3522]) ).
fof(f3522,plain,
( $false
| spl72_52
| ~ spl72_189
| ~ spl72_197 ),
inference(subsumption_resolution,[],[f3521,f948]) ).
fof(f3521,plain,
( e20 = e21
| ~ spl72_189
| ~ spl72_197 ),
inference(forward_demodulation,[],[f1598,f1563]) ).
fof(f3502,plain,
( ~ spl72_194
| ~ spl72_268 ),
inference(avatar_contradiction_clause,[],[f3501]) ).
fof(f3501,plain,
( $false
| ~ spl72_194
| ~ spl72_268 ),
inference(subsumption_resolution,[],[f3500,f339]) ).
fof(f3500,plain,
( e11 = e12
| ~ spl72_194
| ~ spl72_268 ),
inference(forward_demodulation,[],[f1584,f1932]) ).
fof(f3489,plain,
( ~ spl72_150
| ~ spl72_151 ),
inference(avatar_contradiction_clause,[],[f3488]) ).
fof(f3488,plain,
( $false
| ~ spl72_150
| ~ spl72_151 ),
inference(subsumption_resolution,[],[f3487,f548]) ).
fof(f3487,plain,
( e20 = e22
| ~ spl72_150
| ~ spl72_151 ),
inference(forward_demodulation,[],[f1382,f1386]) ).
fof(f3481,plain,
( ~ spl72_49
| ~ spl72_51
| spl72_235 ),
inference(avatar_contradiction_clause,[],[f3480]) ).
fof(f3480,plain,
( $false
| ~ spl72_49
| ~ spl72_51
| spl72_235 ),
inference(subsumption_resolution,[],[f3479,f1774]) ).
fof(f3479,plain,
( e21 = e22
| ~ spl72_49
| ~ spl72_51 ),
inference(forward_demodulation,[],[f942,f934]) ).
fof(f3472,plain,
( ~ spl72_60
| ~ spl72_190 ),
inference(avatar_contradiction_clause,[],[f3471]) ).
fof(f3471,plain,
( $false
| ~ spl72_60
| ~ spl72_190 ),
inference(subsumption_resolution,[],[f3470,f550]) ).
fof(f3470,plain,
( e20 = e23
| ~ spl72_60
| ~ spl72_190 ),
inference(forward_demodulation,[],[f985,f1567]) ).
fof(f3463,plain,
( ~ spl72_89
| ~ spl72_376 ),
inference(avatar_contradiction_clause,[],[f3462]) ).
fof(f3462,plain,
( $false
| ~ spl72_89
| ~ spl72_376 ),
inference(subsumption_resolution,[],[f3461,f340]) ).
fof(f3461,plain,
( e10 = e11
| ~ spl72_89
| ~ spl72_376 ),
inference(forward_demodulation,[],[f2484,f1108]) ).
fof(f3460,plain,
( ~ spl72_89
| ~ spl72_179 ),
inference(avatar_contradiction_clause,[],[f3459]) ).
fof(f3459,plain,
( $false
| ~ spl72_89
| ~ spl72_179 ),
inference(subsumption_resolution,[],[f3458,f341]) ).
fof(f3458,plain,
( e10 = e12
| ~ spl72_89
| ~ spl72_179 ),
inference(forward_demodulation,[],[f1514,f1108]) ).
fof(f3455,plain,
( ~ spl72_192
| ~ spl72_258
| spl72_365 ),
inference(avatar_contradiction_clause,[],[f3454]) ).
fof(f3454,plain,
( $false
| ~ spl72_192
| ~ spl72_258
| spl72_365 ),
inference(subsumption_resolution,[],[f3453,f1888]) ).
fof(f3453,plain,
( e13 != op1(e13,e12)
| ~ spl72_192
| spl72_365 ),
inference(forward_demodulation,[],[f2409,f1576]) ).
fof(f2409,plain,
( e13 != op1(e13,op1(e11,e11))
| spl72_365 ),
inference(avatar_component_clause,[],[f2407]) ).
fof(f2407,plain,
( spl72_365
<=> e13 = op1(e13,op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_365])]) ).
fof(f3441,plain,
( ~ spl72_194
| ~ spl72_269 ),
inference(avatar_contradiction_clause,[],[f3440]) ).
fof(f3440,plain,
( $false
| ~ spl72_194
| ~ spl72_269 ),
inference(subsumption_resolution,[],[f3439,f341]) ).
fof(f3439,plain,
( e10 = e12
| ~ spl72_194
| ~ spl72_269 ),
inference(forward_demodulation,[],[f1584,f1936]) ).
fof(f3437,plain,
( ~ spl72_268
| ~ spl72_269 ),
inference(avatar_contradiction_clause,[],[f3436]) ).
fof(f3436,plain,
( $false
| ~ spl72_268
| ~ spl72_269 ),
inference(subsumption_resolution,[],[f3435,f340]) ).
fof(f3435,plain,
( e10 = e11
| ~ spl72_268
| ~ spl72_269 ),
inference(forward_demodulation,[],[f1932,f1936]) ).
fof(f3434,plain,
( ~ spl72_62
| ~ spl72_170 ),
inference(avatar_contradiction_clause,[],[f3433]) ).
fof(f3433,plain,
( $false
| ~ spl72_62
| ~ spl72_170 ),
inference(subsumption_resolution,[],[f3432,f545]) ).
fof(f3432,plain,
( e21 = e23
| ~ spl72_62
| ~ spl72_170 ),
inference(forward_demodulation,[],[f993,f1473]) ).
fof(f3430,plain,
( spl72_512
| spl72_444
| spl72_491
| spl72_258 ),
inference(avatar_split_clause,[],[f406,f1886,f3097,f2828,f3223]) ).
fof(f406,plain,
( e13 = op1(e13,e12)
| e11 = op1(e13,e12)
| e12 = op1(e13,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13)
| e13 = op1(e12,e13) )
& ( e12 = op1(e11,e10)
| e13 = op1(e11,e10)
| e10 = op1(e11,e10)
| e11 = op1(e11,e10) )
& ( e12 = op1(e10,e12)
| e10 = op1(e10,e12)
| e11 = op1(e10,e12)
| e13 = op1(e10,e12) )
& ( e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13)
| e13 = op1(e10,e13) )
& ( e12 = op1(e13,e10)
| e10 = op1(e13,e10)
| e11 = op1(e13,e10)
| e13 = op1(e13,e10) )
& ( e13 = op1(e12,e11)
| e10 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11) )
& ( e13 = op1(e13,e12)
| e10 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12) )
& ( e13 = op1(e11,e11)
| e10 = op1(e11,e11)
| e11 = op1(e11,e11)
| e12 = op1(e11,e11) )
& ( e10 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e13 = op1(e13,e13) )
& ( e11 = op1(e13,e11)
| e10 = op1(e13,e11)
| e13 = op1(e13,e11)
| e12 = op1(e13,e11) )
& ( e12 = op1(e12,e12)
| e10 = op1(e12,e12)
| e13 = op1(e12,e12)
| e11 = op1(e12,e12) )
& ( e10 = op1(e11,e12)
| e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12) )
& ( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) )
& ( e10 = op1(e11,e13)
| e13 = op1(e11,e13)
| e11 = op1(e11,e13)
| e12 = op1(e11,e13) )
& ( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) )
& ( op1(e10,e10) = e12
| e10 = op1(e10,e10)
| op1(e10,e10) = e13
| op1(e10,e10) = e11 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f3428,plain,
( ~ spl72_240
| ~ spl72_538 ),
inference(avatar_split_clause,[],[f444,f3425,f1796]) ).
fof(f1796,plain,
( spl72_240
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_240])]) ).
fof(f444,plain,
( e11 != op1(op1(e11,e10),e10)
| ~ sP31 ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ( e10 != op1(e11,op1(e11,e10))
& e11 != op1(op1(e11,e10),e10)
& e10 = op1(op1(e11,e10),e11) )
| ~ sP31 ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e10 != op1(e11,op1(e11,e10))
& e11 != op1(op1(e11,e10),e10)
& e10 = op1(op1(e11,e10),e11) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f3423,plain,
~ spl72_235,
inference(avatar_split_clause,[],[f546,f1773]) ).
fof(f546,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f3422,plain,
( ~ spl72_7
| spl72_229 ),
inference(avatar_split_clause,[],[f3421,f1741,f755]) ).
fof(f755,plain,
( spl72_7
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_7])]) ).
fof(f3421,plain,
( e20 = op2(e22,e20)
| ~ sP62 ),
inference(forward_demodulation,[],[f627,f728]) ).
fof(f627,plain,
( e20 = op2(op2(e20,e20),e20)
| ~ sP62 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ( e20 != op2(e20,op2(e20,e20))
& e20 = op2(op2(e20,e20),e20)
& e20 != op2(op2(e20,e20),e20) )
| ~ sP62 ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e20 != op2(e20,op2(e20,e20))
& e20 = op2(op2(e20,e20),e20)
& e20 != op2(op2(e20,e20),e20) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f3415,plain,
( ~ spl72_131
| ~ spl72_536 ),
inference(avatar_split_clause,[],[f518,f3412,f1296]) ).
fof(f1296,plain,
( spl72_131
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_131])]) ).
fof(f518,plain,
( e12 != op1(e12,op1(e11,e13))
| ~ sP14 ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( e11 != op1(e11,op1(e11,e13))
& op1(e11,e13) = op1(e13,e11)
& e10 != op1(e10,op1(e11,e13))
& e13 != op1(e13,op1(e11,e13))
& e12 != op1(e12,op1(e11,e13)) )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e11 != op1(e11,op1(e11,e13))
& op1(e11,e13) = op1(e13,e11)
& e10 != op1(e10,op1(e11,e13))
& e13 != op1(e13,op1(e11,e13))
& e12 != op1(e12,op1(e11,e13)) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f3410,plain,
( spl72_236
| spl72_158
| spl72_231
| spl72_197 ),
inference(avatar_split_clause,[],[f310,f1596,f1752,f1418,f1777]) ).
fof(f310,plain,
( e21 = op2(e23,e23)
| e21 = op2(e23,e21)
| e21 = op2(e23,e22)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e22 = op2(e23,e22)
| e22 = op2(e23,e23)
| e22 = op2(e23,e20)
| e22 = op2(e23,e21) )
& ( e23 = op2(e22,e22)
| e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e23,e22) )
& ( e22 = op2(e23,e21)
| e22 = op2(e20,e21)
| e22 = op2(e21,e21)
| e22 = op2(e22,e21) )
& ( e21 = op2(e21,e22)
| e21 = op2(e22,e22)
| e21 = op2(e20,e22)
| e21 = op2(e23,e22) )
& ( e20 = op2(e22,e23)
| e20 = op2(e20,e23)
| e20 = op2(e21,e23)
| e20 = op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20)
| e22 = op2(e22,e22) )
& ( e23 = op2(e21,e21)
| e23 = op2(e21,e22)
| e23 = op2(e21,e23)
| e23 = op2(e21,e20) )
& ( e23 = op2(e23,e21)
| e23 = op2(e23,e22)
| e23 = op2(e23,e20)
| e23 = op2(e23,e23) )
& ( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) )
& ( e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e23)
| e20 = op2(e23,e20) )
& ( e22 = op2(e20,e22)
| e22 = op2(e23,e22)
| e22 = op2(e21,e22)
| e22 = op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20)
| e21 = op2(e21,e22) )
& ( e22 = op2(e21,e20)
| e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| op2(e20,e20) = e22 )
& ( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e20,e21)
| e23 = op2(e21,e21) )
& ( e20 = op2(e21,e23)
| e20 = op2(e21,e20)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21) )
& ( e22 = op2(e21,e23)
| e22 = op2(e22,e23)
| e22 = op2(e23,e23)
| e22 = op2(e20,e23) )
& ( e20 = op2(e22,e22)
| e20 = op2(e20,e22)
| e20 = op2(e23,e22)
| e20 = op2(e21,e22) )
& ( e20 = op2(e20,e21)
| e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21) )
& ( e23 = op2(e20,e22)
| op2(e20,e20) = e23
| e23 = op2(e20,e23)
| e23 = op2(e20,e21) )
& ( e22 = op2(e21,e21)
| e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e20) )
& ( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e20)
| e21 = op2(e22,e21) )
& ( e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21
| e21 = op2(e20,e23) )
& ( op2(e20,e20) = e21
| e21 = op2(e23,e20)
| e21 = op2(e21,e20)
| e21 = op2(e22,e20) )
& ( e21 = op2(e21,e23)
| e21 = op2(e22,e23)
| e21 = op2(e20,e23)
| e21 = op2(e23,e23) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e20)
| e20 = op2(e22,e21)
| e20 = op2(e22,e22) )
& ( e23 = op2(e21,e20)
| e23 = op2(e23,e20)
| op2(e20,e20) = e23
| e23 = op2(e22,e20) )
& ( e23 = op2(e22,e21)
| e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e20) )
& ( e21 = op2(e20,e21)
| e21 = op2(e21,e21)
| e21 = op2(e23,e21)
| e21 = op2(e22,e21) )
& ( e21 = op2(e23,e23)
| e21 = op2(e23,e20)
| e21 = op2(e23,e21)
| e21 = op2(e23,e22) )
& ( e22 = op2(e20,e23)
| op2(e20,e20) = e22
| e22 = op2(e20,e22)
| e22 = op2(e20,e21) )
& ( e20 = op2(e20,e20)
| e20 = op2(e23,e20)
| e20 = op2(e21,e20)
| e20 = op2(e22,e20) )
& ( e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20)
| e20 = op2(e20,e23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f3408,plain,
( spl72_482
| spl72_89
| spl72_345
| spl72_512 ),
inference(avatar_split_clause,[],[f578,f3223,f2305,f1106,f3043]) ).
fof(f578,plain,
( e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e13)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e10 = op1(e10,e13)
| e10 = op1(e10,e10)
| e10 = op1(e10,e11)
| e10 = op1(e10,e12) )
& ( e10 = op1(e11,e13)
| e10 = op1(e11,e10)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11) )
& ( e11 = op1(e10,e11)
| e11 = op1(e11,e11)
| e11 = op1(e13,e11)
| e11 = op1(e12,e11) )
& ( e12 = op1(e12,e13)
| e12 = op1(e10,e13)
| e12 = op1(e13,e13)
| e12 = op1(e11,e13) )
& ( e13 = op1(e13,e12)
| e13 = op1(e10,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12) )
& ( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) )
& ( e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13)
| e13 = op1(e13,e13) )
& ( e10 = op1(e12,e10)
| e10 = op1(e12,e13)
| e10 = op1(e12,e11)
| e10 = op1(e12,e12) )
& ( e10 = op1(e12,e10)
| e10 = op1(e13,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e11)
| e13 = op1(e13,e12)
| e13 = op1(e13,e10) )
& ( e10 = op1(e13,e11)
| e10 = op1(e10,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11) )
& ( e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10)
| e11 = op1(e11,e13) )
& ( e12 = op1(e11,e10)
| e12 = op1(e13,e10)
| op1(e10,e10) = e12
| e12 = op1(e12,e10) )
& ( e11 = op1(e10,e13)
| e11 = op1(e12,e13)
| e11 = op1(e13,e13)
| e11 = op1(e11,e13) )
& ( op1(e10,e10) = e11
| e11 = op1(e10,e11)
| e11 = op1(e10,e12)
| e11 = op1(e10,e13) )
& ( e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e13)
| e12 = op1(e11,e10) )
& ( e13 = op1(e12,e10)
| e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11) )
& ( e11 = op1(e13,e10)
| op1(e10,e10) = e11
| e11 = op1(e11,e10)
| e11 = op1(e12,e10) )
& ( e10 = op1(e12,e13)
| e10 = op1(e13,e13)
| e10 = op1(e10,e13)
| e10 = op1(e11,e13) )
& ( e10 = op1(e12,e12)
| e10 = op1(e13,e12)
| e10 = op1(e10,e12)
| e10 = op1(e11,e12) )
& ( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10)
| e12 = op1(e12,e12) )
& ( e13 = op1(e10,e11)
| e13 = op1(e10,e12)
| e13 = op1(e10,e13)
| op1(e10,e10) = e13 )
& ( e11 = op1(e13,e12)
| e11 = op1(e13,e13)
| e11 = op1(e13,e10)
| e11 = op1(e13,e11) )
& ( e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11)
| e12 = op1(e13,e11) )
& ( e11 = op1(e11,e12)
| e11 = op1(e13,e12)
| e11 = op1(e10,e12)
| e11 = op1(e12,e12) )
& ( e12 = op1(e13,e12)
| e12 = op1(e13,e13)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) )
& ( e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| e12 = op1(e10,e13)
| op1(e10,e10) = e12 )
& ( e13 = op1(e11,e10)
| e13 = op1(e11,e12)
| e13 = op1(e11,e13)
| e13 = op1(e11,e11) )
& ( e11 = op1(e12,e11)
| e11 = op1(e12,e12)
| e11 = op1(e12,e13)
| e11 = op1(e12,e10) )
& ( e13 = op1(e11,e11)
| e13 = op1(e10,e11)
| e13 = op1(e12,e11)
| e13 = op1(e13,e11) )
& ( e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| e13 = op1(e13,e10)
| op1(e10,e10) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3405,plain,
~ spl72_427,
inference(avatar_split_clause,[],[f3404,f2742]) ).
fof(f3404,plain,
e22 != op2(e20,e22),
inference(forward_demodulation,[],[f378,f728]) ).
fof(f378,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3403,plain,
( ~ spl72_10
| ~ spl72_535 ),
inference(avatar_split_clause,[],[f608,f3400,f767]) ).
fof(f767,plain,
( spl72_10
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_10])]) ).
fof(f608,plain,
( e21 != op2(op2(e21,e20),e20)
| ~ sP68 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( e20 = op2(op2(e21,e20),e21)
& e20 != op2(e21,op2(e21,e20))
& e21 != op2(op2(e21,e20),e20) )
| ~ sP68 ),
inference(nnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( e20 = op2(op2(e21,e20),e21)
& e20 != op2(e21,op2(e21,e20))
& e21 != op2(op2(e21,e20),e20) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f3360,plain,
( ~ spl72_531
| ~ spl72_240 ),
inference(avatar_split_clause,[],[f445,f1796,f3357]) ).
fof(f445,plain,
( ~ sP31
| e10 != op1(e11,op1(e11,e10)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f3354,plain,
( spl72_262
| ~ spl72_261 ),
inference(avatar_split_clause,[],[f420,f1899,f1903]) ).
fof(f1903,plain,
( spl72_262
<=> e13 = op1(op1(e13,e13),e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_262])]) ).
fof(f1899,plain,
( spl72_261
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_261])]) ).
fof(f420,plain,
( ~ sP39
| e13 = op1(op1(e13,e13),e13) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( e13 != op1(op1(e13,e13),e13)
& e13 = op1(op1(e13,e13),e13)
& e13 != op1(e13,op1(e13,e13)) )
| ~ sP39 ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e13 != op1(op1(e13,e13),e13)
& e13 = op1(op1(e13,e13),e13)
& e13 != op1(e13,op1(e13,e13)) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f3351,plain,
( spl72_530
| ~ spl72_15 ),
inference(avatar_split_clause,[],[f3346,f787,f3348]) ).
fof(f787,plain,
( spl72_15
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_15])]) ).
fof(f3346,plain,
( ~ sP67
| e21 = op2(h2(e12),e21) ),
inference(forward_demodulation,[],[f613,f168]) ).
fof(f613,plain,
( ~ sP67
| e21 = op2(op2(e21,e21),e21) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( e21 = op2(op2(e21,e21),e21)
& e21 != op2(op2(e21,e21),e21)
& e21 != op2(e21,op2(e21,e21)) )
| ~ sP67 ),
inference(nnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( e21 = op2(op2(e21,e21),e21)
& e21 != op2(op2(e21,e21),e21)
& e21 != op2(e21,op2(e21,e21)) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f3344,plain,
( ~ spl72_529
| ~ spl72_329 ),
inference(avatar_split_clause,[],[f414,f2231,f3341]) ).
fof(f2231,plain,
( spl72_329
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_329])]) ).
fof(f414,plain,
( ~ sP41
| e11 != op1(e13,op1(e13,e11)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( e11 = op1(op1(e13,e11),e13)
& e11 != op1(e13,op1(e13,e11))
& e13 != op1(op1(e13,e11),e11) )
| ~ sP41 ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e11 = op1(op1(e13,e11),e13)
& e11 != op1(e13,op1(e13,e11))
& e13 != op1(op1(e13,e11),e11) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f3339,plain,
spl72_121,
inference(avatar_split_clause,[],[f543,f1250]) ).
fof(f543,plain,
e20 = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f3333,plain,
( ~ spl72_12
| ~ spl72_527 ),
inference(avatar_split_clause,[],[f3328,f3330,f775]) ).
fof(f775,plain,
( spl72_12
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_12])]) ).
fof(f3328,plain,
( e22 != op2(h3(e12),e22)
| ~ sP64 ),
inference(forward_demodulation,[],[f621,f346]) ).
fof(f621,plain,
( e22 != op2(op2(e22,e22),e22)
| ~ sP64 ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ( e22 = op2(op2(e22,e22),e22)
& e22 != op2(op2(e22,e22),e22)
& e22 != op2(e22,op2(e22,e22)) )
| ~ sP64 ),
inference(nnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e22 = op2(op2(e22,e22),e22)
& e22 != op2(op2(e22,e22),e22)
& e22 != op2(e22,op2(e22,e22)) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f3316,plain,
( ~ spl72_524
| ~ spl72_5 ),
inference(avatar_split_clause,[],[f625,f747,f3313]) ).
fof(f747,plain,
( spl72_5
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_5])]) ).
fof(f625,plain,
( ~ sP63
| e23 != op2(op2(e23,e22),e22) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ( e23 != op2(op2(e23,e22),e22)
& e22 != op2(e23,op2(e23,e22))
& e22 = op2(op2(e23,e22),e23) )
| ~ sP63 ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e23 != op2(op2(e23,e22),e22)
& e22 != op2(e23,op2(e23,e22))
& e22 = op2(op2(e23,e22),e23) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f3304,plain,
( spl72_398
| spl72_176
| spl72_428
| spl72_386 ),
inference(avatar_split_clause,[],[f577,f2534,f2747,f1500,f2593]) ).
fof(f577,plain,
( e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e13)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3269,plain,
( ~ spl72_95
| spl72_348 ),
inference(avatar_split_clause,[],[f709,f2319,f1134]) ).
fof(f1134,plain,
( spl72_95
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_95])]) ).
fof(f709,plain,
( op2(e21,e22) = op2(e22,e21)
| ~ sP43 ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
( ( e20 != op2(e20,op2(e22,e21))
& e23 != op2(e23,op2(e22,e21))
& e22 != op2(e22,op2(e22,e21))
& e21 != op2(e21,op2(e22,e21))
& op2(e21,e22) = op2(e22,e21) )
| ~ sP43 ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e20 != op2(e20,op2(e22,e21))
& e23 != op2(e23,op2(e22,e21))
& e22 != op2(e22,op2(e22,e21))
& e21 != op2(e21,op2(e22,e21))
& op2(e21,e22) = op2(e22,e21) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f3268,plain,
( ~ spl72_181
| ~ spl72_519 ),
inference(avatar_split_clause,[],[f488,f3265,f1523]) ).
fof(f1523,plain,
( spl72_181
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_181])]) ).
fof(f488,plain,
( e13 != op1(e13,op1(e10,e10))
| ~ sP20 ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ( op1(e10,e10) = op1(e10,e10)
& e11 != op1(e11,op1(e10,e10))
& e12 != op1(e12,op1(e10,e10))
& e10 != op1(e10,op1(e10,e10))
& e13 != op1(e13,op1(e10,e10)) )
| ~ sP20 ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( op1(e10,e10) = op1(e10,e10)
& e11 != op1(e11,op1(e10,e10))
& e12 != op1(e12,op1(e10,e10))
& e10 != op1(e10,op1(e10,e10))
& e13 != op1(e13,op1(e10,e10)) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f3263,plain,
( ~ spl72_4
| ~ spl72_518 ),
inference(avatar_split_clause,[],[f638,f3260,f743]) ).
fof(f743,plain,
( spl72_4
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_4])]) ).
fof(f638,plain,
( e23 != op2(op2(e23,e20),e20)
| ~ sP58 ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( e20 != op2(e23,op2(e23,e20))
& e20 = op2(op2(e23,e20),e23)
& e23 != op2(op2(e23,e20),e20) )
| ~ sP58 ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e20 != op2(e23,op2(e23,e20))
& e20 = op2(op2(e23,e20),e23)
& e23 != op2(op2(e23,e20),e20) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f3247,plain,
( ~ spl72_145
| ~ spl72_515 ),
inference(avatar_split_clause,[],[f3242,f3244,f1358]) ).
fof(f1358,plain,
( spl72_145
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_145])]) ).
fof(f3242,plain,
( e22 != op2(e22,h2(e12))
| ~ sP46 ),
inference(forward_demodulation,[],[f696,f168]) ).
fof(f696,plain,
( e22 != op2(e22,op2(e21,e21))
| ~ sP46 ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( ( e20 != op2(e20,op2(e21,e21))
& e21 != op2(e21,op2(e21,e21))
& e22 != op2(e22,op2(e21,e21))
& op2(e21,e21) = op2(e21,e21)
& e23 != op2(e23,op2(e21,e21)) )
| ~ sP46 ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e20 != op2(e20,op2(e21,e21))
& e21 != op2(e21,op2(e21,e21))
& e22 != op2(e22,op2(e21,e21))
& op2(e21,e21) = op2(e21,e21)
& e23 != op2(e23,op2(e21,e21)) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f3240,plain,
( spl72_96
| spl72_385
| spl72_273
| spl72_433 ),
inference(avatar_split_clause,[],[f3239,f2769,f1953,f2529,f1146]) ).
fof(f1146,plain,
( spl72_96
<=> e22 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_96])]) ).
fof(f3239,plain,
( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = h2(e12)
| e22 = h1(e13) ),
inference(forward_demodulation,[],[f3238,f925]) ).
fof(f3238,plain,
( e22 = h2(e12)
| e22 = op2(e23,e21)
| e22 = op2(e20,e21)
| e22 = op2(e22,e21) ),
inference(forward_demodulation,[],[f336,f168]) ).
fof(f336,plain,
( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3237,plain,
( ~ spl72_514
| ~ spl72_331 ),
inference(avatar_split_clause,[],[f424,f2239,f3234]) ).
fof(f2239,plain,
( spl72_331
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_331])]) ).
fof(f424,plain,
( ~ sP38
| e11 != op1(e12,op1(e12,e11)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( e11 != op1(e12,op1(e12,e11))
& e12 != op1(op1(e12,e11),e11)
& e11 = op1(op1(e12,e11),e12) )
| ~ sP38 ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e11 != op1(e12,op1(e12,e11))
& e12 != op1(op1(e12,e11),e11)
& e11 = op1(op1(e12,e11),e12) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f3232,plain,
( ~ spl72_513
| ~ spl72_181 ),
inference(avatar_split_clause,[],[f490,f1523,f3229]) ).
fof(f490,plain,
( ~ sP20
| e12 != op1(e12,op1(e10,e10)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f3226,plain,
( spl72_310
| spl72_387
| spl72_269
| spl72_512 ),
inference(avatar_split_clause,[],[f579,f3223,f1934,f2538,f2137]) ).
fof(f579,plain,
( e10 = op1(e13,e12)
| e10 = op1(e11,e12)
| e10 = op1(e12,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3221,plain,
( spl72_364
| ~ spl72_146 ),
inference(avatar_split_clause,[],[f647,f1362,f2402]) ).
fof(f1362,plain,
( spl72_146
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_146])]) ).
fof(f647,plain,
( ~ sP56
| op2(e22,e23) = op2(e23,e22) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( ( e23 != op2(e23,op2(e22,e23))
& op2(e22,e23) = op2(e23,e22)
& e21 != op2(e21,op2(e22,e23))
& e22 != op2(e22,op2(e22,e23))
& e20 != op2(e20,op2(e22,e23)) )
| ~ sP56 ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e23 != op2(e23,op2(e22,e23))
& op2(e22,e23) = op2(e23,e22)
& e21 != op2(e21,op2(e22,e23))
& e22 != op2(e22,op2(e22,e23))
& e20 != op2(e20,op2(e22,e23)) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f3210,plain,
( ~ spl72_101
| ~ spl72_502
| ~ spl72_106
| ~ spl72_113
| ~ spl72_503
| ~ spl72_107
| ~ spl72_100
| spl72_109
| spl72_98
| ~ spl72_102
| ~ spl72_105
| ~ spl72_504
| ~ spl72_505
| ~ spl72_506
| ~ spl72_507
| ~ spl72_508
| spl72_112
| ~ spl72_108
| ~ spl72_509 ),
inference(avatar_split_clause,[],[f3177,f3207,f1194,f1210,f3203,f3199,f3195,f3191,f3187,f1182,f1170,f1154,f1198,f1162,f1190,f3183,f1214,f1186,f3179,f1166]) ).
fof(f1198,plain,
( spl72_109
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_109])]) ).
fof(f1154,plain,
( spl72_98
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_98])]) ).
fof(f1210,plain,
( spl72_112
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_112])]) ).
fof(f3177,plain,
( op2(e21,e22) != h1(op1(e11,e12))
| h1(op1(e13,e11)) != op2(h1(e13),e21)
| sP9
| h2(e12) != h1(op1(e11,e11))
| h1(op1(e12,e13)) != op2(e22,h1(e13))
| op2(e22,e22) != h1(op1(e12,e12))
| h1(op1(e10,e12)) != op2(h1(e10),e22)
| op2(e22,e21) != h1(op1(e12,e11))
| h1(op1(e11,e13)) != op2(e21,h1(e13))
| h1(op1(e11,e10)) != op2(e21,h1(e10))
| sP11
| sP10
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e13,e12)) != op2(h1(e13),e22)
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e10,e11)) != op2(h1(e10),e21)
| h1(op1(e12,e10)) != op2(e22,h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13)) ),
inference(forward_demodulation,[],[f3176,f926]) ).
fof(f3176,plain,
( h1(op1(e11,e12)) != op2(h1(e11),e22)
| h2(e12) != h1(op1(e11,e11))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e12,e10)) != op2(e22,h1(e10))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| op2(e22,e22) != h1(op1(e12,e12))
| h1(op1(e13,e11)) != op2(h1(e13),e21)
| h1(op1(e13,e12)) != op2(h1(e13),e22)
| sP9
| sP10
| h1(op1(e10,e11)) != op2(h1(e10),e21)
| op2(e22,e21) != h1(op1(e12,e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| sP11
| h1(op1(e11,e13)) != op2(e21,h1(e13))
| h1(op1(e11,e10)) != op2(e21,h1(e10))
| h1(op1(e12,e13)) != op2(e22,h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),e22) ),
inference(forward_demodulation,[],[f3175,f2349]) ).
fof(f3175,plain,
( h1(op1(e12,e10)) != op2(e22,h1(e10))
| h1(op1(e10,e12)) != op2(h1(e10),e22)
| op2(e22,e22) != h1(op1(e12,e12))
| h1(op1(e11,e13)) != op2(e21,h1(e13))
| h1(op1(e13,e11)) != op2(h1(e13),e21)
| h2(e12) != h1(op1(e11,e11))
| sP10
| h1(op1(e12,e13)) != op2(e22,h1(e13))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| op2(e22,e21) != h1(op1(e12,e11))
| h1(op1(e13,e12)) != op2(h1(e13),e22)
| h1(op1(e10,e11)) != op2(h1(e10),e21)
| sP11
| sP9
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e10)) != op2(e21,h1(e10))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[],[f3174,f2349]) ).
fof(f3174,plain,
( sP10
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| op2(e22,e22) != h1(op1(e12,e12))
| h1(op1(e11,e10)) != op2(e21,h1(e10))
| h1(op1(e13,e12)) != op2(h1(e13),e22)
| h1(op1(e12,e10)) != op2(e22,h1(e10))
| h1(op1(e11,e13)) != op2(e21,h1(e13))
| h1(op1(e13,e11)) != op2(h1(e13),e21)
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(e22,h1(e13))
| sP9
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| op2(e22,e21) != h1(op1(e12,e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h2(e12) != h1(op1(e11,e11))
| h1(op1(e10,e11)) != op2(h1(e10),e21)
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| sP11 ),
inference(forward_demodulation,[],[f3173,f2349]) ).
fof(f3173,plain,
( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| sP10
| h1(op1(e12,e10)) != op2(e22,h1(e10))
| h1(op1(e12,e13)) != op2(e22,h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h2(e12) != h1(op1(e11,e11))
| op2(e22,e22) != h1(op1(e12,e12))
| h1(op1(e11,e10)) != op2(e21,h1(e10))
| sP9
| h1(op1(e12,e11)) != op2(h1(e12),e21)
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),e21)
| h1(op1(e13,e12)) != op2(h1(e13),e22)
| h1(op1(e10,e11)) != op2(h1(e10),e21)
| sP11
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e11,e13)) != op2(e21,h1(e13)) ),
inference(forward_demodulation,[],[f3172,f2349]) ).
fof(f3172,plain,
( sP11
| h1(op1(e13,e11)) != op2(h1(e13),e21)
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h2(e12) != h1(op1(e11,e11))
| h1(op1(e12,e13)) != op2(e22,h1(e13))
| h1(op1(e11,e13)) != op2(e21,h1(e13))
| h1(op1(e12,e11)) != op2(h1(e12),e21)
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e13,e12)) != op2(h1(e13),e22)
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e11,e10)) != op2(e21,h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),e21)
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| sP9
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| sP10
| op2(e22,e22) != h1(op1(e12,e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[],[f3171,f926]) ).
fof(f3171,plain,
( h1(op1(e12,e13)) != op2(e22,h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| op2(e22,e22) != h1(op1(e12,e12))
| h2(e12) != h1(op1(e11,e11))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| sP10
| sP11
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),e21)
| h1(op1(e13,e11)) != op2(h1(e13),e21)
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| sP9
| h1(op1(e11,e13)) != op2(e21,h1(e13))
| h1(op1(e11,e10)) != op2(e21,h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e13,e12)) != op2(h1(e13),e22)
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[],[f3170,f2349]) ).
fof(f3170,plain,
( sP10
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),e21)
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| op2(e22,e22) != h1(op1(e12,e12))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e11,e13)) != op2(e21,h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e12,e13)) != op2(e22,h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h2(e12) != h1(op1(e11,e11))
| sP11
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e11)) != op2(h1(e13),e21)
| h1(op1(e11,e10)) != op2(e21,h1(e10))
| sP9 ),
inference(forward_demodulation,[],[f3169,f2349]) ).
fof(f3169,plain,
( h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| sP11
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e11)) != op2(h1(e13),e21)
| h1(op1(e10,e11)) != op2(h1(e10),e21)
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e11,e13)) != op2(e21,h1(e13))
| h2(e12) != h1(op1(e11,e11))
| sP10
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| sP9
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e13)) != op2(e22,h1(e13))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e11,e10)) != op2(e21,h1(e10))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) ),
inference(forward_demodulation,[],[f3168,f926]) ).
fof(f3168,plain,
( h1(op1(e10,e11)) != op2(h1(e10),e21)
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| sP9
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| sP11
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e11,e13)) != op2(e21,h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),e21)
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e12,e13)) != op2(e22,h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h2(e12) != h1(op1(e11,e11))
| sP10
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[],[f3167,f168]) ).
fof(f3167,plain,
( h1(op1(e12,e13)) != op2(e22,h1(e13))
| sP10
| op2(e21,e21) != h1(op1(e11,e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e11,e13)) != op2(e21,h1(e13))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),e21)
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| sP11
| h1(op1(e10,e11)) != op2(h1(e10),e21)
| sP9 ),
inference(forward_demodulation,[],[f3166,f926]) ).
fof(f3166,plain,
( h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),e21)
| sP9
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| op2(e21,e21) != h1(op1(e11,e11))
| h1(op1(e12,e13)) != op2(e22,h1(e13))
| sP10
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),e21)
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| sP11
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[],[f3165,f2349]) ).
fof(f3165,plain,
( sP10
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| op2(e21,e21) != h1(op1(e11,e11))
| sP9
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e11)) != op2(h1(e13),e21)
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| sP11
| h1(op1(e10,e11)) != op2(h1(e10),e21) ),
inference(forward_demodulation,[],[f3164,f926]) ).
fof(f3164,plain,
( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| sP10
| h1(op1(e13,e11)) != op2(h1(e13),e21)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| sP11
| op2(e21,e21) != h1(op1(e11,e11))
| sP9 ),
inference(forward_demodulation,[],[f3163,f926]) ).
fof(f3163,plain,
( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| sP10
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e11)) != op2(h1(e13),e21)
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| sP9
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| sP11
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12)) ),
inference(forward_demodulation,[],[f3162,f926]) ).
fof(f3162,plain,
( h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| sP9
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| sP10
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| sP11
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12)) ),
inference(subsumption_resolution,[],[f258,f2349]) ).
fof(f258,plain,
( h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| sP9
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| sP10
| e22 != h1(e12)
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| sP11
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| ( e22 != h1(e12)
& e22 != h1(e10)
& e22 != h1(e13)
& e22 != h1(e11) )
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| sP11
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| sP10
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| sP9
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11)) )
& ( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| ( e22 != h4(e13)
& e22 != h4(e11)
& e22 != h4(e10)
& e22 != h4(e12) )
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| sP8
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| sP7
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| sP6
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) )
& ( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e10)
& e23 != h3(e11) )
| sP5
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| sP4
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| sP3
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12)) )
& ( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( e23 != h2(e12)
& e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e13) )
| sP2
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| sP1
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| sP0
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11)) ) ),
inference(definition_folding,[],[f20,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f21,plain,
( ( e20 != h2(e10)
& e20 != h2(e11)
& e20 != h2(e13)
& e20 != h2(e12) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e22 != h2(e12)
& e22 != h2(e13)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e21 != h2(e10)
& e21 != h2(e13)
& e21 != h2(e11)
& e21 != h2(e12) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e10)
& e21 != h3(e11) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e13)
& e22 != h3(e12) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e10)
& e20 != h3(e11) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10)
& e21 != h4(e13) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( e20 != h4(e11)
& e20 != h4(e10)
& e20 != h4(e13)
& e20 != h4(e12) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,plain,
( ( e23 != h4(e13)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( e20 != h1(e10)
& e20 != h1(e12)
& e20 != h1(e13)
& e20 != h1(e11) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f31,plain,
( ( e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13)
& e21 != h1(e10) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e13)
& e23 != h1(e10) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| ( e22 != h1(e12)
& e22 != h1(e10)
& e22 != h1(e13)
& e22 != h1(e11) )
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| ( e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e13)
& e23 != h1(e10) )
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| ( e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13)
& e21 != h1(e10) )
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| ( e20 != h1(e10)
& e20 != h1(e12)
& e20 != h1(e13)
& e20 != h1(e11) )
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11)) )
& ( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| ( e22 != h4(e13)
& e22 != h4(e11)
& e22 != h4(e10)
& e22 != h4(e12) )
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| ( e23 != h4(e13)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e10) )
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| ( e20 != h4(e11)
& e20 != h4(e10)
& e20 != h4(e13)
& e20 != h4(e12) )
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| ( e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10)
& e21 != h4(e13) )
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) )
& ( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e10)
& e23 != h3(e11) )
| ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e10)
& e20 != h3(e11) )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e13)
& e22 != h3(e12) )
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e10)
& e21 != h3(e11) )
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12)) )
& ( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( e23 != h2(e12)
& e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e13) )
| ( e21 != h2(e10)
& e21 != h2(e13)
& e21 != h2(e11)
& e21 != h2(e12) )
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| ( e22 != h2(e12)
& e22 != h2(e13)
& e22 != h2(e11)
& e22 != h2(e10) )
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| ( e20 != h2(e10)
& e20 != h2(e11)
& e20 != h2(e13)
& e20 != h2(e12) )
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& ( e20 = h3(e13)
| e20 = h3(e10)
| e20 = h3(e12)
| e20 = h3(e11) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& ( e21 = h3(e10)
| e21 = h3(e11)
| e21 = h3(e12)
| e21 = h3(e13) )
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& ( e22 = h3(e13)
| e22 = h3(e10)
| e22 = h3(e11)
| e22 = h3(e12) )
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& ( e23 = h3(e12)
| e23 = h3(e10)
| e23 = h3(e11)
| e23 = h3(e13) ) )
| ( h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e13)
| e23 = h1(e10) )
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& ( e21 = h1(e13)
| e21 = h1(e10)
| e21 = h1(e11)
| e21 = h1(e12) )
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& ( e20 = h1(e11)
| e20 = h1(e12)
| e20 = h1(e13)
| e20 = h1(e10) )
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) )
| ( h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& ( e22 = h4(e13)
| e22 = h4(e10)
| e22 = h4(e12)
| e22 = h4(e11) )
& ( e20 = h4(e10)
| e20 = h4(e12)
| e20 = h4(e13)
| e20 = h4(e11) )
& ( e23 = h4(e11)
| e23 = h4(e10)
| e23 = h4(e12)
| e23 = h4(e13) )
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& ( e21 = h4(e13)
| e21 = h4(e11)
| e21 = h4(e10)
| e21 = h4(e12) )
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) )
| ( ( e23 = h2(e12)
| e23 = h2(e13)
| e23 = h2(e11)
| e23 = h2(e10) )
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& ( e22 = h2(e10)
| e22 = h2(e12)
| e22 = h2(e13)
| e22 = h2(e11) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& ( e20 = h2(e13)
| e20 = h2(e11)
| e20 = h2(e10)
| e20 = h2(e12) )
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& ( e21 = h2(e12)
| e21 = h2(e10)
| e21 = h2(e11)
| e21 = h2(e13) )
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& ( e20 = h3(e13)
| e20 = h3(e10)
| e20 = h3(e12)
| e20 = h3(e11) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& ( e21 = h3(e10)
| e21 = h3(e11)
| e21 = h3(e12)
| e21 = h3(e13) )
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& ( e22 = h3(e13)
| e22 = h3(e10)
| e22 = h3(e11)
| e22 = h3(e12) )
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& ( e23 = h3(e12)
| e23 = h3(e10)
| e23 = h3(e11)
| e23 = h3(e13) ) )
| ( h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e13)
| e23 = h1(e10) )
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& ( e21 = h1(e13)
| e21 = h1(e10)
| e21 = h1(e11)
| e21 = h1(e12) )
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& ( e20 = h1(e11)
| e20 = h1(e12)
| e20 = h1(e13)
| e20 = h1(e10) )
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) )
| ( h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& ( e22 = h4(e13)
| e22 = h4(e10)
| e22 = h4(e12)
| e22 = h4(e11) )
& ( e20 = h4(e10)
| e20 = h4(e12)
| e20 = h4(e13)
| e20 = h4(e11) )
& ( e23 = h4(e11)
| e23 = h4(e10)
| e23 = h4(e12)
| e23 = h4(e13) )
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& ( e21 = h4(e13)
| e21 = h4(e11)
| e21 = h4(e10)
| e21 = h4(e12) )
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) )
| ( ( e23 = h2(e12)
| e23 = h2(e13)
| e23 = h2(e11)
| e23 = h2(e10) )
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& ( e22 = h2(e10)
| e22 = h2(e12)
| e22 = h2(e13)
| e22 = h2(e11) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& ( e20 = h2(e13)
| e20 = h2(e11)
| e20 = h2(e10)
| e20 = h2(e12) )
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& ( e21 = h2(e12)
| e21 = h2(e10)
| e21 = h2(e11)
| e21 = h2(e13) )
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f3160,plain,
( ~ spl72_16
| spl72_501 ),
inference(avatar_split_clause,[],[f641,f3157,f791]) ).
fof(f791,plain,
( spl72_16
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_16])]) ).
fof(f641,plain,
( e22 = op2(op2(e20,e22),e20)
| ~ sP57 ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ( e20 != op2(op2(e20,e22),e22)
& e22 != op2(e20,op2(e20,e22))
& e22 = op2(op2(e20,e22),e20) )
| ~ sP57 ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e20 != op2(op2(e20,e22),e22)
& e22 != op2(e20,op2(e20,e22))
& e22 = op2(op2(e20,e22),e20) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f3155,plain,
( spl72_500
| ~ spl72_2 ),
inference(avatar_split_clause,[],[f602,f735,f3152]) ).
fof(f735,plain,
( spl72_2
<=> sP70 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_2])]) ).
fof(f602,plain,
( ~ sP70
| e22 = op2(op2(e21,e22),e21) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( e21 != op2(op2(e21,e22),e22)
& e22 != op2(e21,op2(e21,e22))
& e22 = op2(op2(e21,e22),e21) )
| ~ sP70 ),
inference(nnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( e21 != op2(op2(e21,e22),e22)
& e22 != op2(e21,op2(e21,e22))
& e22 = op2(op2(e21,e22),e21) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f3143,plain,
( ~ spl72_498
| ~ spl72_95 ),
inference(avatar_split_clause,[],[f710,f1134,f3140]) ).
fof(f710,plain,
( ~ sP43
| e21 != op2(e21,op2(e22,e21)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f3138,plain,
( spl72_391
| spl72_396
| spl72_268
| spl72_467 ),
inference(avatar_split_clause,[],[f587,f2961,f1930,f2584,f2557]) ).
fof(f587,plain,
( e11 = op1(e11,e11)
| e11 = op1(e11,e12)
| e11 = op1(e11,e13)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3137,plain,
( spl72_159
| spl72_237
| spl72_151
| spl72_19 ),
inference(avatar_split_clause,[],[f322,f805,f1384,f1782,f1422]) ).
fof(f322,plain,
( e20 = op2(e20,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3125,plain,
( spl72_444
| spl72_386
| spl72_194
| spl72_421 ),
inference(avatar_split_clause,[],[f593,f2714,f1582,f2534,f2828]) ).
fof(f593,plain,
( e12 = op1(e10,e12)
| e12 = op1(e11,e12)
| e12 = op1(e12,e12)
| e12 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3119,plain,
( ~ spl72_1
| ~ spl72_494 ),
inference(avatar_split_clause,[],[f617,f3116,f731]) ).
fof(f731,plain,
( spl72_1
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_1])]) ).
fof(f617,plain,
( e23 != op2(op2(e23,e21),e21)
| ~ sP65 ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( e21 = op2(op2(e23,e21),e23)
& e21 != op2(e23,op2(e23,e21))
& e23 != op2(op2(e23,e21),e21) )
| ~ sP65 ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e21 = op2(op2(e23,e21),e23)
& e21 != op2(e23,op2(e23,e21))
& e23 != op2(op2(e23,e21),e21) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f3114,plain,
( ~ spl72_331
| ~ spl72_493 ),
inference(avatar_split_clause,[],[f423,f3111,f2239]) ).
fof(f423,plain,
( e12 != op1(op1(e12,e11),e11)
| ~ sP38 ),
inference(cnf_transformation,[],[f111]) ).
fof(f3109,plain,
( spl72_492
| ~ spl72_326 ),
inference(avatar_split_clause,[],[f430,f2219,f3106]) ).
fof(f2219,plain,
( spl72_326
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_326])]) ).
fof(f430,plain,
( ~ sP36
| e10 = op1(op1(e13,e10),e13) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( e10 = op1(op1(e13,e10),e13)
& e13 != op1(op1(e13,e10),e10)
& e10 != op1(e13,op1(e13,e10)) )
| ~ sP36 ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e10 = op1(op1(e13,e10),e13)
& e13 != op1(op1(e13,e10),e10)
& e10 != op1(e13,op1(e13,e10)) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f3104,plain,
( spl72_202
| spl72_259
| spl72_308
| spl72_163 ),
inference(avatar_split_clause,[],[f582,f1440,f2128,f1890,f1620]) ).
fof(f582,plain,
( e13 = op1(e12,e10)
| e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3103,plain,
~ spl72_109,
inference(avatar_split_clause,[],[f3102,f1198]) ).
fof(f3102,plain,
~ sP10,
inference(subsumption_resolution,[],[f202,f926]) ).
fof(f202,plain,
( ~ sP10
| e21 != h1(e11) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13)
& e21 != h1(e10) )
| ~ sP10 ),
inference(nnf_transformation,[],[f31]) ).
fof(f3101,plain,
( ~ spl72_122
| ~ spl72_339 ),
inference(avatar_split_clause,[],[f515,f2278,f1255]) ).
fof(f2278,plain,
( spl72_339
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_339])]) ).
fof(f515,plain,
( ~ sP15
| e12 != op1(e12,op1(e12,e12)) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( ( e11 != op1(e11,op1(e12,e12))
& e13 != op1(e13,op1(e12,e12))
& e12 != op1(e12,op1(e12,e12))
& e10 != op1(e10,op1(e12,e12))
& op1(e12,e12) = op1(e12,e12) )
| ~ sP15 ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( e11 != op1(e11,op1(e12,e12))
& e13 != op1(e13,op1(e12,e12))
& e12 != op1(e12,op1(e12,e12))
& e10 != op1(e10,op1(e12,e12))
& op1(e12,e12) = op1(e12,e12) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f3100,plain,
( spl72_390
| spl72_440
| spl72_491
| spl72_376 ),
inference(avatar_split_clause,[],[f575,f2482,f3097,f2808,f2553]) ).
fof(f575,plain,
( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3095,plain,
( ~ spl72_326
| ~ spl72_490 ),
inference(avatar_split_clause,[],[f428,f3092,f2219]) ).
fof(f428,plain,
( e10 != op1(e13,op1(e13,e10))
| ~ sP36 ),
inference(cnf_transformation,[],[f113]) ).
fof(f3090,plain,
( ~ spl72_133
| ~ spl72_489 ),
inference(avatar_split_clause,[],[f416,f3087,f1305]) ).
fof(f1305,plain,
( spl72_133
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_133])]) ).
fof(f416,plain,
( e13 != op1(e12,op1(e12,e13))
| ~ sP40 ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( e12 != op1(op1(e12,e13),e13)
& e13 = op1(op1(e12,e13),e12)
& e13 != op1(e12,op1(e12,e13)) )
| ~ sP40 ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e12 != op1(op1(e12,e13),e13)
& e13 = op1(op1(e12,e13),e12)
& e13 != op1(e12,op1(e12,e13)) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f3085,plain,
( spl72_116
| spl72_50
| spl72_225
| spl72_407 ),
inference(avatar_split_clause,[],[f330,f2638,f1722,f936,f1227]) ).
fof(f330,plain,
( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3078,plain,
( spl72_150
| spl72_273
| spl72_227 ),
inference(avatar_split_clause,[],[f3077,f1730,f1953,f1380]) ).
fof(f3077,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e21)
| e22 = op2(e22,e22) ),
inference(subsumption_resolution,[],[f333,f1857]) ).
fof(f1857,plain,
e22 != op2(e22,e20),
inference(forward_demodulation,[],[f376,f728]) ).
fof(f376,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f333,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20)
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f3069,plain,
( spl72_486
| ~ spl72_10 ),
inference(avatar_split_clause,[],[f610,f767,f3066]) ).
fof(f610,plain,
( ~ sP68
| e20 = op2(op2(e21,e20),e21) ),
inference(cnf_transformation,[],[f141]) ).
fof(f3059,plain,
( spl72_470
| spl72_163
| spl72_264
| spl72_398 ),
inference(avatar_split_clause,[],[f400,f2593,f1912,f1440,f2977]) ).
fof(f400,plain,
( e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e13 = op1(e12,e10)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f3053,plain,
( spl72_483
| ~ spl72_14 ),
inference(avatar_split_clause,[],[f616,f783,f3050]) ).
fof(f783,plain,
( spl72_14
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_14])]) ).
fof(f616,plain,
( ~ sP66
| e23 = op2(op2(e22,e23),e22) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( e23 = op2(op2(e22,e23),e22)
& e23 != op2(e22,op2(e22,e23))
& e22 != op2(op2(e22,e23),e23) )
| ~ sP66 ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e23 = op2(op2(e22,e23),e22)
& e23 != op2(e22,op2(e22,e23))
& e22 != op2(op2(e22,e23),e23) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f3046,plain,
( spl72_317
| spl72_482
| spl72_470
| spl72_311 ),
inference(avatar_split_clause,[],[f590,f2141,f2977,f3043,f2172]) ).
fof(f590,plain,
( e10 = op1(e10,e10)
| e10 = op1(e12,e10)
| e10 = op1(e13,e10)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f3041,plain,
( ~ spl72_342
| spl72_460 ),
inference(avatar_split_clause,[],[f512,f2920,f2290]) ).
fof(f2290,plain,
( spl72_342
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_342])]) ).
fof(f512,plain,
( op1(e11,e12) = op1(e12,e11)
| ~ sP16 ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( op1(e11,e12) = op1(e12,e11)
& e11 != op1(e11,op1(e11,e12))
& e12 != op1(e12,op1(e11,e12))
& e10 != op1(e10,op1(e11,e12))
& e13 != op1(e13,op1(e11,e12)) )
| ~ sP16 ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( op1(e11,e12) = op1(e12,e11)
& e11 != op1(e11,op1(e11,e12))
& e12 != op1(e12,op1(e11,e12))
& e10 != op1(e10,op1(e11,e12))
& e13 != op1(e13,op1(e11,e12)) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f3040,plain,
( spl72_481
| ~ spl72_140 ),
inference(avatar_split_clause,[],[f3035,f1338,f3037]) ).
fof(f1338,plain,
( spl72_140
<=> sP47 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_140])]) ).
fof(f3035,plain,
( ~ sP47
| op2(e21,e20) = h1(e13) ),
inference(forward_demodulation,[],[f690,f925]) ).
fof(f690,plain,
( op2(e20,e21) = op2(e21,e20)
| ~ sP47 ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
( ( e22 != op2(e22,op2(e21,e20))
& e20 != op2(e20,op2(e21,e20))
& e21 != op2(e21,op2(e21,e20))
& op2(e20,e21) = op2(e21,e20)
& e23 != op2(e23,op2(e21,e20)) )
| ~ sP47 ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e22 != op2(e22,op2(e21,e20))
& e20 != op2(e20,op2(e21,e20))
& e21 != op2(e21,op2(e21,e20))
& op2(e20,e21) = op2(e21,e20)
& e23 != op2(e23,op2(e21,e20)) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f3034,plain,
( ~ spl72_480
| ~ spl72_56 ),
inference(avatar_split_clause,[],[f673,f965,f3031]) ).
fof(f965,plain,
( spl72_56
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_56])]) ).
fof(f673,plain,
( ~ sP51
| e22 != op2(e22,op2(e23,e21)) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( ( e22 != op2(e22,op2(e23,e21))
& e23 != op2(e23,op2(e23,e21))
& e20 != op2(e20,op2(e23,e21))
& op2(e21,e23) = op2(e23,e21)
& e21 != op2(e21,op2(e23,e21)) )
| ~ sP51 ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e22 != op2(e22,op2(e23,e21))
& e23 != op2(e23,op2(e23,e21))
& e20 != op2(e20,op2(e23,e21))
& op2(e21,e23) = op2(e23,e21)
& e21 != op2(e21,op2(e23,e21)) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f3029,plain,
( ~ spl72_5
| spl72_479 ),
inference(avatar_split_clause,[],[f623,f3026,f747]) ).
fof(f623,plain,
( e22 = op2(op2(e23,e22),e23)
| ~ sP63 ),
inference(cnf_transformation,[],[f146]) ).
fof(f3007,plain,
( ~ spl72_2
| ~ spl72_475 ),
inference(avatar_split_clause,[],[f603,f3004,f735]) ).
fof(f603,plain,
( e22 != op2(e21,op2(e21,e22))
| ~ sP70 ),
inference(cnf_transformation,[],[f139]) ).
fof(f3002,plain,
( ~ spl72_333
| ~ spl72_474 ),
inference(avatar_split_clause,[],[f503,f2999,f2248]) ).
fof(f2248,plain,
( spl72_333
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_333])]) ).
fof(f503,plain,
( e11 != op1(e11,op1(e10,e13))
| ~ sP17 ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( ( e10 != op1(e10,op1(e10,e13))
& e12 != op1(e12,op1(e10,e13))
& e13 != op1(e13,op1(e10,e13))
& op1(e10,e13) = op1(e13,e10)
& e11 != op1(e11,op1(e10,e13)) )
| ~ sP17 ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e10 != op1(e10,op1(e10,e13))
& e12 != op1(e12,op1(e10,e13))
& e13 != op1(e13,op1(e10,e13))
& op1(e10,e13) = op1(e13,e10)
& e11 != op1(e11,op1(e10,e13)) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f2986,plain,
( spl72_426
| spl72_403
| spl72_51
| spl72_366 ),
inference(avatar_split_clause,[],[f319,f2414,f940,f2618,f2738]) ).
fof(f319,plain,
( e22 = op2(e21,e20)
| e22 = op2(e21,e23)
| e22 = op2(e21,e21)
| e22 = op2(e21,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2985,plain,
( ~ spl72_16
| ~ spl72_471 ),
inference(avatar_split_clause,[],[f643,f2982,f791]) ).
fof(f643,plain,
( e20 != op2(op2(e20,e22),e22)
| ~ sP57 ),
inference(cnf_transformation,[],[f152]) ).
fof(f2980,plain,
( spl72_88
| spl72_470
| spl72_346
| spl72_387 ),
inference(avatar_split_clause,[],[f591,f2538,f2309,f2977,f1102]) ).
fof(f591,plain,
( e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2964,plain,
( spl72_467
| spl72_440
| spl72_255
| spl72_263 ),
inference(avatar_split_clause,[],[f596,f1908,f1871,f2808,f2961]) ).
fof(f596,plain,
( e11 = op1(e12,e11)
| e11 = op1(e10,e11)
| e11 = op1(e13,e11)
| e11 = op1(e11,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2959,plain,
( ~ spl72_339
| ~ spl72_466 ),
inference(avatar_split_clause,[],[f517,f2956,f2278]) ).
fof(f517,plain,
( e11 != op1(e11,op1(e12,e12))
| ~ sP15 ),
inference(cnf_transformation,[],[f134]) ).
fof(f2954,plain,
spl72_397,
inference(avatar_split_clause,[],[f193,f2589]) ).
fof(f193,plain,
op1(e10,e10) = e12,
inference(cnf_transformation,[],[f12]) ).
fof(f2952,plain,
( ~ spl72_327
| spl72_465 ),
inference(avatar_split_clause,[],[f439,f2949,f2223]) ).
fof(f2223,plain,
( spl72_327
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_327])]) ).
fof(f439,plain,
( e13 = op1(op1(e11,e13),e11)
| ~ sP33 ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ( e13 = op1(op1(e11,e13),e11)
& e11 != op1(op1(e11,e13),e13)
& e13 != op1(e11,op1(e11,e13)) )
| ~ sP33 ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e13 = op1(op1(e11,e13),e11)
& e11 != op1(op1(e11,e13),e13)
& e13 != op1(e11,op1(e11,e13)) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f2947,plain,
( ~ spl72_281
| spl72_464 ),
inference(avatar_split_clause,[],[f449,f2944,f1992]) ).
fof(f1992,plain,
( spl72_281
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_281])]) ).
fof(f449,plain,
( e10 = op1(op1(e12,e10),e12)
| ~ sP29 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( e12 != op1(op1(e12,e10),e10)
& e10 != op1(e12,op1(e12,e10))
& e10 = op1(op1(e12,e10),e12) )
| ~ sP29 ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e12 != op1(op1(e12,e10),e10)
& e10 != op1(e12,op1(e12,e10))
& e10 = op1(op1(e12,e10),e12) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f2937,plain,
~ spl72_118,
inference(avatar_split_clause,[],[f2936,f1235]) ).
fof(f2936,plain,
e22 != op2(e20,e23),
inference(forward_demodulation,[],[f373,f728]) ).
fof(f373,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2925,plain,
( spl72_118
| spl72_51
| spl72_227
| spl72_432 ),
inference(avatar_split_clause,[],[f323,f2765,f1730,f940,f1235]) ).
fof(f323,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2923,plain,
( ~ spl72_340
| spl72_460 ),
inference(avatar_split_clause,[],[f470,f2920,f2282]) ).
fof(f2282,plain,
( spl72_340
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_340])]) ).
fof(f470,plain,
( op1(e11,e12) = op1(e12,e11)
| ~ sP24 ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
( ( e13 != op1(e13,op1(e12,e11))
& e11 != op1(e11,op1(e12,e11))
& op1(e11,e12) = op1(e12,e11)
& e12 != op1(e12,op1(e12,e11))
& e10 != op1(e10,op1(e12,e11)) )
| ~ sP24 ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e13 != op1(e13,op1(e12,e11))
& e11 != op1(e11,op1(e12,e11))
& op1(e11,e12) = op1(e12,e11)
& e12 != op1(e12,op1(e12,e11))
& e10 != op1(e10,op1(e12,e11)) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f2908,plain,
( ~ spl72_11
| ~ spl72_457 ),
inference(avatar_split_clause,[],[f2903,f2905,f771]) ).
fof(f771,plain,
( spl72_11
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_11])]) ).
fof(f2903,plain,
( e20 != op2(h1(e13),e21)
| ~ sP59 ),
inference(forward_demodulation,[],[f637,f925]) ).
fof(f637,plain,
( ~ sP59
| e20 != op2(op2(e20,e21),e21) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
( ( e20 != op2(op2(e20,e21),e21)
& e21 = op2(op2(e20,e21),e20)
& e21 != op2(e20,op2(e20,e21)) )
| ~ sP59 ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e20 != op2(op2(e20,e21),e21)
& e21 = op2(op2(e20,e21),e20)
& e21 != op2(e20,op2(e20,e21)) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f2894,plain,
( ~ spl72_44
| ~ spl72_455 ),
inference(avatar_split_clause,[],[f476,f2891,f907]) ).
fof(f907,plain,
( spl72_44
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_44])]) ).
fof(f476,plain,
( e11 != op1(e11,op1(e13,e10))
| ~ sP23 ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ( op1(e10,e13) = op1(e13,e10)
& e11 != op1(e11,op1(e13,e10))
& e10 != op1(e10,op1(e13,e10))
& e12 != op1(e12,op1(e13,e10))
& e13 != op1(e13,op1(e13,e10)) )
| ~ sP23 ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( op1(e10,e13) = op1(e13,e10)
& e11 != op1(e11,op1(e13,e10))
& e10 != op1(e10,op1(e13,e10))
& e12 != op1(e12,op1(e13,e10))
& e13 != op1(e13,op1(e13,e10)) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f2889,plain,
( ~ spl72_454
| ~ spl72_328 ),
inference(avatar_split_clause,[],[f456,f2227,f2886]) ).
fof(f2227,plain,
( spl72_328
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_328])]) ).
fof(f456,plain,
( ~ sP27
| e10 != op1(op1(e10,e11),e11) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
( ( e11 = op1(op1(e10,e11),e10)
& e10 != op1(op1(e10,e11),e11)
& e11 != op1(e10,op1(e10,e11)) )
| ~ sP27 ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e11 = op1(op1(e10,e11),e10)
& e10 != op1(op1(e10,e11),e11)
& e11 != op1(e10,op1(e10,e11)) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f2884,plain,
( spl72_309
| spl72_260
| spl72_204
| spl72_165 ),
inference(avatar_split_clause,[],[f570,f1448,f1628,f1894,f2132]) ).
fof(f570,plain,
( e13 = op1(e11,e10)
| e13 = op1(e11,e11)
| e13 = op1(e11,e12)
| e13 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2883,plain,
( ~ spl72_338
| ~ spl72_382 ),
inference(avatar_split_clause,[],[f484,f2514,f2274]) ).
fof(f2274,plain,
( spl72_338
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_338])]) ).
fof(f484,plain,
( e13 != op1(e13,op1(e13,e13))
| ~ sP21 ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( ( e10 != op1(e10,op1(e13,e13))
& e12 != op1(e12,op1(e13,e13))
& op1(e13,e13) = op1(e13,e13)
& e13 != op1(e13,op1(e13,e13))
& e11 != op1(e11,op1(e13,e13)) )
| ~ sP21 ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e10 != op1(e10,op1(e13,e13))
& e12 != op1(e12,op1(e13,e13))
& op1(e13,e13) = op1(e13,e13)
& e13 != op1(e13,op1(e13,e13))
& e11 != op1(e11,op1(e13,e13)) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f2877,plain,
( ~ spl72_452
| ~ spl72_63 ),
inference(avatar_split_clause,[],[f524,f996,f2874]) ).
fof(f996,plain,
( spl72_63
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_63])]) ).
fof(f524,plain,
( ~ sP13
| e10 != op1(e10,op1(e10,e11)) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ( e12 != op1(e12,op1(e10,e11))
& e13 != op1(e13,op1(e10,e11))
& e11 != op1(e11,op1(e10,e11))
& e10 != op1(e10,op1(e10,e11))
& op1(e10,e11) = op1(e11,e10) )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e12 != op1(e12,op1(e10,e11))
& e13 != op1(e13,op1(e10,e11))
& e11 != op1(e11,op1(e10,e11))
& e10 != op1(e10,op1(e10,e11))
& op1(e10,e11) = op1(e11,e10) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f2866,plain,
~ spl72_96,
inference(avatar_split_clause,[],[f2865,f1146]) ).
fof(f2865,plain,
e22 != h1(e13),
inference(forward_demodulation,[],[f2864,f728]) ).
fof(f2864,plain,
op2(e20,e20) != h1(e13),
inference(forward_demodulation,[],[f354,f925]) ).
fof(f354,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2863,plain,
( ~ spl72_450
| ~ spl72_327 ),
inference(avatar_split_clause,[],[f438,f2223,f2860]) ).
fof(f438,plain,
( ~ sP33
| e11 != op1(op1(e11,e13),e13) ),
inference(cnf_transformation,[],[f116]) ).
fof(f2858,plain,
( ~ spl72_338
| ~ spl72_449 ),
inference(avatar_split_clause,[],[f487,f2855,f2274]) ).
fof(f487,plain,
( e10 != op1(e10,op1(e13,e13))
| ~ sP21 ),
inference(cnf_transformation,[],[f128]) ).
fof(f2853,plain,
( spl72_124
| spl72_237
| spl72_426
| spl72_298 ),
inference(avatar_split_clause,[],[f563,f2076,f2738,f1782,f1264]) ).
fof(f563,plain,
( e21 = op2(e21,e22)
| e22 = op2(e21,e22)
| e20 = op2(e21,e22)
| e23 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e20 = op2(e21,e21)
| e21 = op2(e21,e21)
| e22 = op2(e21,e21)
| e23 = op2(e21,e21) )
& ( e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e23 = op2(e23,e23)
| e20 = op2(e23,e23) )
& ( e22 = op2(e22,e21)
| e23 = op2(e22,e21)
| e20 = op2(e22,e21)
| e21 = op2(e22,e21) )
& ( e20 = op2(e21,e22)
| e21 = op2(e21,e22)
| e23 = op2(e21,e22)
| e22 = op2(e21,e22) )
& ( e23 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22)
| e22 = op2(e23,e22) )
& ( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e20 = op2(e22,e20)
| e21 = op2(e22,e20) )
& ( e21 = op2(e21,e20)
| e20 = op2(e21,e20)
| e23 = op2(e21,e20)
| e22 = op2(e21,e20) )
& ( e23 = op2(e23,e20)
| e21 = op2(e23,e20)
| e22 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e20 = op2(e21,e23)
| e21 = op2(e21,e23)
| e23 = op2(e21,e23)
| e22 = op2(e21,e23) )
& ( e23 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23)
| e22 = op2(e22,e23) )
& ( e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e23 = op2(e20,e21)
| e20 = op2(e20,e21) )
& ( e22 = op2(e23,e21)
| e20 = op2(e23,e21)
| e21 = op2(e23,e21)
| e23 = op2(e23,e21) )
& ( e22 = op2(e20,e23)
| e20 = op2(e20,e23)
| e23 = op2(e20,e23)
| e21 = op2(e20,e23) )
& ( e20 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e23 = op2(e20,e22) )
& ( e22 = op2(e22,e22)
| e23 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) )
& ( op2(e20,e20) = e23
| e20 = op2(e20,e20)
| op2(e20,e20) = e21
| op2(e20,e20) = e22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f2846,plain,
( ~ spl72_447
| ~ spl72_342 ),
inference(avatar_split_clause,[],[f508,f2290,f2843]) ).
fof(f508,plain,
( ~ sP16
| e13 != op1(e13,op1(e11,e12)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f2831,plain,
( spl72_429
| spl72_399
| spl72_179
| spl72_444 ),
inference(avatar_split_clause,[],[f572,f2828,f1512,f2597,f2751]) ).
fof(f572,plain,
( e12 = op1(e13,e12)
| e12 = op1(e13,e13)
| e12 = op1(e13,e10)
| e12 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2826,plain,
( ~ spl72_340
| ~ spl72_443 ),
inference(avatar_split_clause,[],[f472,f2823,f2282]) ).
fof(f472,plain,
( e13 != op1(e13,op1(e12,e11))
| ~ sP24 ),
inference(cnf_transformation,[],[f125]) ).
fof(f2821,plain,
( ~ spl72_329
| spl72_442 ),
inference(avatar_split_clause,[],[f415,f2818,f2231]) ).
fof(f415,plain,
( e11 = op1(op1(e13,e11),e13)
| ~ sP41 ),
inference(cnf_transformation,[],[f108]) ).
fof(f2799,plain,
( spl72_340
| spl72_342
| spl72_149
| spl72_131
| spl72_171
| spl72_333
| spl72_206
| spl72_181
| spl72_400
| spl72_323
| spl72_63
| spl72_44
| spl72_277
| spl72_338
| spl72_287
| spl72_339 ),
inference(avatar_split_clause,[],[f537,f2278,f2020,f2274,f1973,f907,f996,f2204,f2602,f1523,f1637,f2248,f1476,f1296,f1375,f2290,f2282]) ).
fof(f1375,plain,
( spl72_149
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_149])]) ).
fof(f1476,plain,
( spl72_171
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_171])]) ).
fof(f1637,plain,
( spl72_206
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_206])]) ).
fof(f2204,plain,
( spl72_323
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_323])]) ).
fof(f1973,plain,
( spl72_277
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_277])]) ).
fof(f2020,plain,
( spl72_287
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_287])]) ).
fof(f537,plain,
( sP15
| sP22
| sP21
| sP25
| sP23
| sP13
| sP19
| op1(e12,e13) = op1(e13,e12)
| sP20
| sP26
| sP17
| sP18
| sP14
| sP12
| sP16
| sP24 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( ( e10 != op1(op1(e10,e13),e13)
& e13 != op1(e10,op1(e10,e13))
& e13 = op1(op1(e10,e13),e10) )
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 )
& ( ( op1(e12,e13) = op1(e13,e12)
& e12 != op1(e12,op1(e12,e13))
& e10 != op1(e10,op1(e12,e13))
& e13 != op1(e13,op1(e12,e13))
& e11 != op1(e11,op1(e12,e13)) )
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 ) ),
inference(definition_folding,[],[f10,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34]) ).
fof(f34,plain,
( ( e10 != op1(e10,op1(e11,e11))
& e13 != op1(e13,op1(e11,e11))
& e12 != op1(e12,op1(e11,e11))
& e11 != op1(e11,op1(e11,e11))
& op1(e11,e11) = op1(e11,e11) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f40,plain,
( ( e13 != op1(e13,op1(e13,e11))
& e10 != op1(e10,op1(e13,e11))
& e11 != op1(e11,op1(e13,e11))
& op1(e11,e13) = op1(e13,e11)
& e12 != op1(e12,op1(e13,e11)) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f41,plain,
( ( op1(e12,e13) = op1(e13,e12)
& e12 != op1(e12,op1(e13,e12))
& e13 != op1(e13,op1(e13,e12))
& e11 != op1(e11,op1(e13,e12))
& e10 != op1(e10,op1(e13,e12)) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f44,plain,
( ( e10 != op1(e10,op1(e12,e10))
& op1(e10,e12) = op1(e12,e10)
& e12 != op1(e12,op1(e12,e10))
& e13 != op1(e13,op1(e12,e10))
& e11 != op1(e11,op1(e12,e10)) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f47,plain,
( ( e12 != op1(e12,op1(e10,e12))
& op1(e10,e12) = op1(e12,e10)
& e11 != op1(e11,op1(e10,e12))
& e13 != op1(e13,op1(e10,e12))
& e10 != op1(e10,op1(e10,e12)) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f48,plain,
( ( op1(e10,e11) = op1(e11,e10)
& e13 != op1(e13,op1(e11,e10))
& e12 != op1(e12,op1(e11,e10))
& e11 != op1(e11,op1(e11,e10))
& e10 != op1(e10,op1(e11,e10)) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f50,plain,
( ( e12 != op1(e13,op1(e13,e12))
& e12 = op1(op1(e13,e12),e13)
& e13 != op1(op1(e13,e12),e12) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f52,plain,
( ( e12 = op1(op1(e10,e12),e10)
& e12 != op1(e10,op1(e10,e12))
& e10 != op1(op1(e10,e12),e12) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f54,plain,
( ( e11 != op1(op1(e11,e12),e12)
& e12 = op1(op1(e11,e12),e11)
& e12 != op1(e11,op1(e11,e12)) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f56,plain,
( ( e10 != op1(e10,op1(e10,e10))
& e10 != op1(op1(e10,e10),e10)
& e10 = op1(op1(e10,e10),e10) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f57,plain,
( ( e12 != op1(e12,op1(e12,e12))
& e12 != op1(op1(e12,e12),e12)
& e12 = op1(op1(e12,e12),e12) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f59,plain,
( ( e11 != op1(e11,op1(e11,e11))
& e11 = op1(op1(e11,e11),e11)
& e11 != op1(op1(e11,e11),e11) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f10,axiom,
( ( ( e10 != op1(op1(e10,e13),e13)
& e13 != op1(e10,op1(e10,e13))
& e13 = op1(op1(e10,e13),e10) )
| ( e11 = op1(op1(e13,e11),e13)
& e11 != op1(e13,op1(e13,e11))
& e13 != op1(op1(e13,e11),e11) )
| ( e12 != op1(op1(e12,e13),e13)
& e13 = op1(op1(e12,e13),e12)
& e13 != op1(e12,op1(e12,e13)) )
| ( e13 != op1(op1(e13,e13),e13)
& e13 = op1(op1(e13,e13),e13)
& e13 != op1(e13,op1(e13,e13)) )
| ( e11 != op1(e12,op1(e12,e11))
& e12 != op1(op1(e12,e11),e11)
& e11 = op1(op1(e12,e11),e12) )
| ( e11 != op1(e11,op1(e11,e11))
& e11 = op1(op1(e11,e11),e11)
& e11 != op1(op1(e11,e11),e11) )
| ( e10 = op1(op1(e13,e10),e13)
& e13 != op1(op1(e13,e10),e10)
& e10 != op1(e13,op1(e13,e10)) )
| ( e12 != op1(e12,op1(e12,e12))
& e12 != op1(op1(e12,e12),e12)
& e12 = op1(op1(e12,e12),e12) )
| ( e10 != op1(e10,op1(e10,e10))
& e10 != op1(op1(e10,e10),e10)
& e10 = op1(op1(e10,e10),e10) )
| ( e13 = op1(op1(e11,e13),e11)
& e11 != op1(op1(e11,e13),e13)
& e13 != op1(e11,op1(e11,e13)) )
| ( e11 != op1(op1(e11,e12),e12)
& e12 = op1(op1(e11,e12),e11)
& e12 != op1(e11,op1(e11,e12)) )
| ( e10 != op1(e11,op1(e11,e10))
& e11 != op1(op1(e11,e10),e10)
& e10 = op1(op1(e11,e10),e11) )
| ( e12 = op1(op1(e10,e12),e10)
& e12 != op1(e10,op1(e10,e12))
& e10 != op1(op1(e10,e12),e12) )
| ( e12 != op1(op1(e12,e10),e10)
& e10 != op1(e12,op1(e12,e10))
& e10 = op1(op1(e12,e10),e12) )
| ( e12 != op1(e13,op1(e13,e12))
& e12 = op1(op1(e13,e12),e13)
& e13 != op1(op1(e13,e12),e12) )
| ( e11 = op1(op1(e10,e11),e10)
& e10 != op1(op1(e10,e11),e11)
& e11 != op1(e10,op1(e10,e11)) ) )
& ( ( op1(e12,e13) = op1(e13,e12)
& e12 != op1(e12,op1(e12,e13))
& e10 != op1(e10,op1(e12,e13))
& e13 != op1(e13,op1(e12,e13))
& e11 != op1(e11,op1(e12,e13)) )
| ( op1(e10,e11) = op1(e11,e10)
& e13 != op1(e13,op1(e11,e10))
& e12 != op1(e12,op1(e11,e10))
& e11 != op1(e11,op1(e11,e10))
& e10 != op1(e10,op1(e11,e10)) )
| ( e12 != op1(e12,op1(e10,e12))
& op1(e10,e12) = op1(e12,e10)
& e11 != op1(e11,op1(e10,e12))
& e13 != op1(e13,op1(e10,e12))
& e10 != op1(e10,op1(e10,e12)) )
| ( e13 != op1(e13,op1(e12,e11))
& e11 != op1(e11,op1(e12,e11))
& op1(e11,e12) = op1(e12,e11)
& e12 != op1(e12,op1(e12,e11))
& e10 != op1(e10,op1(e12,e11)) )
| ( op1(e10,e13) = op1(e13,e10)
& e11 != op1(e11,op1(e13,e10))
& e10 != op1(e10,op1(e13,e10))
& e12 != op1(e12,op1(e13,e10))
& e13 != op1(e13,op1(e13,e10)) )
| ( e10 != op1(e10,op1(e12,e10))
& op1(e10,e12) = op1(e12,e10)
& e12 != op1(e12,op1(e12,e10))
& e13 != op1(e13,op1(e12,e10))
& e11 != op1(e11,op1(e12,e10)) )
| ( e10 != op1(e10,op1(e13,e13))
& e12 != op1(e12,op1(e13,e13))
& op1(e13,e13) = op1(e13,e13)
& e13 != op1(e13,op1(e13,e13))
& e11 != op1(e11,op1(e13,e13)) )
| ( op1(e10,e10) = op1(e10,e10)
& e11 != op1(e11,op1(e10,e10))
& e12 != op1(e12,op1(e10,e10))
& e10 != op1(e10,op1(e10,e10))
& e13 != op1(e13,op1(e10,e10)) )
| ( op1(e12,e13) = op1(e13,e12)
& e12 != op1(e12,op1(e13,e12))
& e13 != op1(e13,op1(e13,e12))
& e11 != op1(e11,op1(e13,e12))
& e10 != op1(e10,op1(e13,e12)) )
| ( e13 != op1(e13,op1(e13,e11))
& e10 != op1(e10,op1(e13,e11))
& e11 != op1(e11,op1(e13,e11))
& op1(e11,e13) = op1(e13,e11)
& e12 != op1(e12,op1(e13,e11)) )
| ( e10 != op1(e10,op1(e10,e13))
& e12 != op1(e12,op1(e10,e13))
& e13 != op1(e13,op1(e10,e13))
& op1(e10,e13) = op1(e13,e10)
& e11 != op1(e11,op1(e10,e13)) )
| ( op1(e11,e12) = op1(e12,e11)
& e11 != op1(e11,op1(e11,e12))
& e12 != op1(e12,op1(e11,e12))
& e10 != op1(e10,op1(e11,e12))
& e13 != op1(e13,op1(e11,e12)) )
| ( e11 != op1(e11,op1(e12,e12))
& e13 != op1(e13,op1(e12,e12))
& e12 != op1(e12,op1(e12,e12))
& e10 != op1(e10,op1(e12,e12))
& op1(e12,e12) = op1(e12,e12) )
| ( e11 != op1(e11,op1(e11,e13))
& op1(e11,e13) = op1(e13,e11)
& e10 != op1(e10,op1(e11,e13))
& e13 != op1(e13,op1(e11,e13))
& e12 != op1(e12,op1(e11,e13)) )
| ( e12 != op1(e12,op1(e10,e11))
& e13 != op1(e13,op1(e10,e11))
& e11 != op1(e11,op1(e10,e11))
& e10 != op1(e10,op1(e10,e11))
& op1(e10,e11) = op1(e11,e10) )
| ( e10 != op1(e10,op1(e11,e11))
& e13 != op1(e13,op1(e11,e11))
& e12 != op1(e12,op1(e11,e11))
& e11 != op1(e11,op1(e11,e11))
& op1(e11,e11) = op1(e11,e11) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f2798,plain,
( ~ spl72_133
| spl72_438 ),
inference(avatar_split_clause,[],[f417,f2795,f1305]) ).
fof(f417,plain,
( e13 = op1(op1(e12,e13),e12)
| ~ sP40 ),
inference(cnf_transformation,[],[f109]) ).
fof(f2788,plain,
( ~ spl72_306
| spl72_436 ),
inference(avatar_split_clause,[],[f448,f2785,f2118]) ).
fof(f2118,plain,
( spl72_306
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_306])]) ).
fof(f448,plain,
( e12 = op1(op1(e10,e12),e10)
| ~ sP30 ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
( ( e12 = op1(op1(e10,e12),e10)
& e12 != op1(e10,op1(e10,e12))
& e10 != op1(op1(e10,e12),e12) )
| ~ sP30 ),
inference(nnf_transformation,[],[f52]) ).
fof(f2783,plain,
( ~ spl72_12
| ~ spl72_435 ),
inference(avatar_split_clause,[],[f620,f2779,f775]) ).
fof(f620,plain,
( e22 != op2(e22,op2(e22,e22))
| ~ sP64 ),
inference(cnf_transformation,[],[f145]) ).
fof(f2782,plain,
( ~ spl72_435
| ~ spl72_57 ),
inference(avatar_split_clause,[],[f705,f970,f2779]) ).
fof(f970,plain,
( spl72_57
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_57])]) ).
fof(f705,plain,
( ~ sP44
| e22 != op2(e22,op2(e22,e22)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
( ( e20 != op2(e20,op2(e22,e22))
& e21 != op2(e21,op2(e22,e22))
& e23 != op2(e23,op2(e22,e22))
& e22 != op2(e22,op2(e22,e22))
& op2(e22,e22) = op2(e22,e22) )
| ~ sP44 ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e20 != op2(e20,op2(e22,e22))
& e21 != op2(e21,op2(e22,e22))
& e23 != op2(e23,op2(e22,e22))
& e22 != op2(e22,op2(e22,e22))
& op2(e22,e22) = op2(e22,e22) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f2772,plain,
( spl72_431
| spl72_432
| spl72_160
| spl72_433 ),
inference(avatar_split_clause,[],[f338,f2769,f1426,f2765,f2761]) ).
fof(f338,plain,
( e22 = op2(e23,e21)
| e22 = op2(e23,e22)
| e22 = op2(e23,e23)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2754,plain,
( spl72_428
| spl72_422
| spl72_192
| spl72_429 ),
inference(avatar_split_clause,[],[f574,f2751,f1574,f2718,f2747]) ).
fof(f574,plain,
( e12 = op1(e13,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11)
| e12 = op1(e12,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2745,plain,
( spl72_426
| spl72_160
| spl72_150
| spl72_427 ),
inference(avatar_split_clause,[],[f328,f2742,f1380,f1426,f2738]) ).
fof(f328,plain,
( e22 = op2(e20,e22)
| e22 = op2(e22,e22)
| e22 = op2(e23,e22)
| e22 = op2(e21,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2736,plain,
( ~ spl72_425
| ~ spl72_327 ),
inference(avatar_split_clause,[],[f437,f2223,f2733]) ).
fof(f437,plain,
( ~ sP33
| e13 != op1(e11,op1(e11,e13)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f2707,plain,
( ~ spl72_149
| ~ spl72_359 ),
inference(avatar_split_clause,[],[f529,f2376,f1375]) ).
fof(f529,plain,
( e11 != op1(e11,op1(e11,e11))
| ~ sP12 ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( e10 != op1(e10,op1(e11,e11))
& e13 != op1(e13,op1(e11,e11))
& e12 != op1(e12,op1(e11,e11))
& e11 != op1(e11,op1(e11,e11))
& op1(e11,e11) = op1(e11,e11) )
| ~ sP12 ),
inference(nnf_transformation,[],[f34]) ).
fof(f2706,plain,
( ~ spl72_419
| ~ spl72_342 ),
inference(avatar_split_clause,[],[f511,f2290,f2703]) ).
fof(f511,plain,
( ~ sP16
| e11 != op1(e11,op1(e11,e12)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f2695,plain,
( ~ spl72_145
| ~ spl72_67 ),
inference(avatar_split_clause,[],[f2694,f1016,f1358]) ).
fof(f2694,plain,
( e21 != h2(e11)
| ~ sP46 ),
inference(forward_demodulation,[],[f697,f171]) ).
fof(f697,plain,
( ~ sP46
| e21 != op2(e21,op2(e21,e21)) ),
inference(cnf_transformation,[],[f163]) ).
fof(f2683,plain,
( spl72_396
| spl72_376
| spl72_266
| spl72_253 ),
inference(avatar_split_clause,[],[f585,f1863,f1920,f2482,f2584]) ).
fof(f585,plain,
( e11 = op1(e10,e13)
| e11 = op1(e12,e13)
| e11 = op1(e13,e13)
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2677,plain,
( spl72_266
| spl72_176
| spl72_308
| spl72_88 ),
inference(avatar_split_clause,[],[f412,f1102,f2128,f1500,f1920]) ).
fof(f412,plain,
( e10 = op1(e12,e13)
| e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2665,plain,
( ~ spl72_332
| ~ spl72_412 ),
inference(avatar_split_clause,[],[f442,f2662,f2243]) ).
fof(f2243,plain,
( spl72_332
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_332])]) ).
fof(f442,plain,
( e11 != op1(op1(e11,e12),e12)
| ~ sP32 ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( ( e11 != op1(op1(e11,e12),e12)
& e12 = op1(op1(e11,e12),e11)
& e12 != op1(e11,op1(e11,e12)) )
| ~ sP32 ),
inference(nnf_transformation,[],[f54]) ).
fof(f2660,plain,
( ~ spl72_411
| ~ spl72_329 ),
inference(avatar_split_clause,[],[f413,f2231,f2657]) ).
fof(f413,plain,
( ~ sP41
| e13 != op1(op1(e13,e11),e11) ),
inference(cnf_transformation,[],[f108]) ).
fof(f2645,plain,
( spl72_407
| spl72_161
| spl72_60
| spl72_408 ),
inference(avatar_split_clause,[],[f331,f2642,f983,f1430,f2638]) ).
fof(f331,plain,
( e23 = op2(e23,e21)
| e23 = op2(e23,e20)
| e23 = op2(e23,e22)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2636,plain,
( spl72_406
| ~ spl72_331 ),
inference(avatar_split_clause,[],[f422,f2239,f2633]) ).
fof(f422,plain,
( ~ sP38
| e11 = op1(op1(e12,e11),e12) ),
inference(cnf_transformation,[],[f111]) ).
fof(f2621,plain,
( spl72_238
| spl72_232
| spl72_125
| spl72_403 ),
inference(avatar_split_clause,[],[f566,f2618,f1268,f1756,f1786]) ).
fof(f566,plain,
( e22 = op2(e21,e21)
| e23 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2605,plain,
( spl72_400
| ~ spl72_323 ),
inference(avatar_split_clause,[],[f497,f2204,f2602]) ).
fof(f497,plain,
( ~ sP19
| op1(e12,e13) = op1(e13,e12) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
( ( op1(e12,e13) = op1(e13,e12)
& e12 != op1(e12,op1(e13,e12))
& e13 != op1(e13,op1(e13,e12))
& e11 != op1(e11,op1(e13,e12))
& e10 != op1(e10,op1(e13,e12)) )
| ~ sP19 ),
inference(nnf_transformation,[],[f41]) ).
fof(f2577,plain,
( spl72_394
| ~ spl72_206 ),
inference(avatar_split_clause,[],[f462,f1637,f2574]) ).
fof(f462,plain,
( ~ sP26
| op1(e10,e11) = op1(e11,e10) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ( op1(e10,e11) = op1(e11,e10)
& e13 != op1(e13,op1(e11,e10))
& e12 != op1(e12,op1(e11,e10))
& e11 != op1(e11,op1(e11,e10))
& e10 != op1(e10,op1(e11,e10)) )
| ~ sP26 ),
inference(nnf_transformation,[],[f48]) ).
fof(f2571,plain,
( spl72_361
| ~ spl72_277 ),
inference(avatar_split_clause,[],[f466,f1973,f2387]) ).
fof(f466,plain,
( ~ sP25
| op1(e10,e12) = op1(e12,e10) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( ( e12 != op1(e12,op1(e10,e12))
& op1(e10,e12) = op1(e12,e10)
& e11 != op1(e11,op1(e10,e12))
& e13 != op1(e13,op1(e10,e12))
& e10 != op1(e10,op1(e10,e12)) )
| ~ sP25 ),
inference(nnf_transformation,[],[f47]) ).
fof(f2560,plain,
( spl72_390
| spl72_252
| spl72_264
| spl72_391 ),
inference(avatar_split_clause,[],[f581,f2557,f1912,f1859,f2553]) ).
fof(f581,plain,
( e11 = op1(e11,e10)
| e11 = op1(e12,e10)
| op1(e10,e10) = e11
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2546,plain,
( ~ spl72_332
| ~ spl72_388 ),
inference(avatar_split_clause,[],[f440,f2543,f2243]) ).
fof(f440,plain,
( e12 != op1(e11,op1(e11,e12))
| ~ sP32 ),
inference(cnf_transformation,[],[f117]) ).
fof(f2527,plain,
( ~ spl72_384
| ~ spl72_10 ),
inference(avatar_split_clause,[],[f609,f767,f2524]) ).
fof(f609,plain,
( ~ sP68
| e20 != op2(e21,op2(e21,e20)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f2512,plain,
( ~ spl72_44
| spl72_334 ),
inference(avatar_split_clause,[],[f477,f2252,f907]) ).
fof(f477,plain,
( op1(e10,e13) = op1(e13,e10)
| ~ sP23 ),
inference(cnf_transformation,[],[f126]) ).
fof(f2500,plain,
( spl72_379
| ~ spl72_328 ),
inference(avatar_split_clause,[],[f457,f2227,f2497]) ).
fof(f457,plain,
( ~ sP27
| e11 = op1(op1(e10,e11),e10) ),
inference(cnf_transformation,[],[f122]) ).
fof(f2495,plain,
( spl72_270
| spl72_326
| spl72_328
| ~ spl72_378
| spl72_327
| spl72_240
| spl72_133
| spl72_331
| spl72_123
| spl72_286
| spl72_281
| spl72_244
| spl72_306
| spl72_332
| spl72_329
| spl72_261 ),
inference(avatar_split_clause,[],[f540,f1899,f2231,f2243,f2118,f1816,f1992,f2015,f1259,f2239,f1305,f1796,f2223,f2492,f2227,f2219,f1939]) ).
fof(f1939,plain,
( spl72_270
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_270])]) ).
fof(f1259,plain,
( spl72_123
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_123])]) ).
fof(f2015,plain,
( spl72_286
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_286])]) ).
fof(f1816,plain,
( spl72_244
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_244])]) ).
fof(f540,plain,
( sP39
| sP41
| sP32
| sP30
| sP37
| sP29
| sP28
| sP35
| sP38
| sP40
| sP31
| sP33
| e10 != op1(op1(e10,e13),e13)
| sP27
| sP36
| sP34 ),
inference(cnf_transformation,[],[f64]) ).
fof(f2490,plain,
( ~ spl72_3
| spl72_377 ),
inference(avatar_split_clause,[],[f599,f2487,f739]) ).
fof(f739,plain,
( spl72_3
<=> sP71 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_3])]) ).
fof(f599,plain,
( e23 = op2(op2(e20,e23),e20)
| ~ sP71 ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ( e23 != op2(e20,op2(e20,e23))
& e20 != op2(op2(e20,e23),e23)
& e23 = op2(op2(e20,e23),e20) )
| ~ sP71 ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e23 != op2(e20,op2(e20,e23))
& e20 != op2(op2(e20,e23),e23)
& e23 = op2(op2(e20,e23),e20) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f2480,plain,
( ~ spl72_13
| ~ spl72_375 ),
inference(avatar_split_clause,[],[f630,f2477,f779]) ).
fof(f779,plain,
( spl72_13
<=> sP61 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_13])]) ).
fof(f630,plain,
( e20 != op2(e22,op2(e22,e20))
| ~ sP61 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( e20 = op2(op2(e22,e20),e22)
& e20 != op2(e22,op2(e22,e20))
& e22 != op2(op2(e22,e20),e20) )
| ~ sP61 ),
inference(nnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e20 = op2(op2(e22,e20),e22)
& e20 != op2(e22,op2(e22,e20))
& e22 != op2(op2(e22,e20),e20) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f2439,plain,
( spl72_370
| ~ spl72_1 ),
inference(avatar_split_clause,[],[f619,f731,f2436]) ).
fof(f619,plain,
( ~ sP65
| e21 = op2(op2(e23,e21),e23) ),
inference(cnf_transformation,[],[f144]) ).
fof(f2429,plain,
( ~ spl72_326
| ~ spl72_368 ),
inference(avatar_split_clause,[],[f429,f2426,f2219]) ).
fof(f429,plain,
( e13 != op1(op1(e13,e10),e10)
| ~ sP36 ),
inference(cnf_transformation,[],[f113]) ).
fof(f2424,plain,
( spl72_170
| spl72_229
| spl72_62 ),
inference(avatar_split_clause,[],[f2423,f991,f1741,f1471]) ).
fof(f2423,plain,
( e23 = op2(e22,e20)
| e20 = op2(e22,e20)
| e21 = op2(e22,e20) ),
inference(subsumption_resolution,[],[f561,f1857]) ).
fof(f561,plain,
( e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e23 = op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2422,plain,
( ~ spl72_367
| ~ spl72_340 ),
inference(avatar_split_clause,[],[f471,f2282,f2419]) ).
fof(f471,plain,
( ~ sP24
| e11 != op1(e11,op1(e12,e11)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f2412,plain,
( ~ spl72_7
| ~ spl72_229 ),
inference(avatar_split_clause,[],[f2411,f1741,f755]) ).
fof(f2411,plain,
( e20 != op2(e22,e20)
| ~ sP62 ),
inference(forward_demodulation,[],[f626,f728]) ).
fof(f626,plain,
( ~ sP62
| e20 != op2(op2(e20,e20),e20) ),
inference(cnf_transformation,[],[f147]) ).
fof(f2410,plain,
( ~ spl72_149
| ~ spl72_365 ),
inference(avatar_split_clause,[],[f531,f2407,f1375]) ).
fof(f531,plain,
( e13 != op1(e13,op1(e11,e11))
| ~ sP12 ),
inference(cnf_transformation,[],[f137]) ).
fof(f2405,plain,
( ~ spl72_141
| spl72_364 ),
inference(avatar_split_clause,[],[f680,f2402,f1342]) ).
fof(f1342,plain,
( spl72_141
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_141])]) ).
fof(f680,plain,
( op2(e22,e23) = op2(e23,e22)
| ~ sP49 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( ( e20 != op2(e20,op2(e23,e22))
& e21 != op2(e21,op2(e23,e22))
& e22 != op2(e22,op2(e23,e22))
& op2(e22,e23) = op2(e23,e22)
& e23 != op2(e23,op2(e23,e22)) )
| ~ sP49 ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( e20 != op2(e20,op2(e23,e22))
& e21 != op2(e21,op2(e23,e22))
& e22 != op2(e22,op2(e23,e22))
& op2(e22,e23) = op2(e23,e22)
& e23 != op2(e23,op2(e23,e22)) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f2395,plain,
( ~ spl72_362
| ~ spl72_141 ),
inference(avatar_split_clause,[],[f683,f1342,f2392]) ).
fof(f683,plain,
( ~ sP49
| e20 != op2(e20,op2(e23,e22)) ),
inference(cnf_transformation,[],[f160]) ).
fof(f2390,plain,
( spl72_361
| ~ spl72_287 ),
inference(avatar_split_clause,[],[f481,f2020,f2387]) ).
fof(f481,plain,
( ~ sP22
| op1(e10,e12) = op1(e12,e10) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ( e10 != op1(e10,op1(e12,e10))
& op1(e10,e12) = op1(e12,e10)
& e12 != op1(e12,op1(e12,e10))
& e13 != op1(e13,op1(e12,e10))
& e11 != op1(e11,op1(e12,e10)) )
| ~ sP22 ),
inference(nnf_transformation,[],[f44]) ).
fof(f2385,plain,
( ~ spl72_284
| ~ spl72_123 ),
inference(avatar_split_clause,[],[f432,f1259,f2006]) ).
fof(f2006,plain,
( spl72_284
<=> e12 = op1(op1(e12,e12),e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_284])]) ).
fof(f432,plain,
( ~ sP35
| e12 != op1(op1(e12,e12),e12) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( ( e12 != op1(e12,op1(e12,e12))
& e12 != op1(op1(e12,e12),e12)
& e12 = op1(op1(e12,e12),e12) )
| ~ sP35 ),
inference(nnf_transformation,[],[f57]) ).
fof(f2374,plain,
( ~ spl72_358
| ~ spl72_286 ),
inference(avatar_split_clause,[],[f452,f2015,f2371]) ).
fof(f452,plain,
( ~ sP28
| e13 != op1(op1(e13,e12),e12) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( ( e12 != op1(e13,op1(e13,e12))
& e12 = op1(op1(e13,e12),e13)
& e13 != op1(op1(e13,e12),e12) )
| ~ sP28 ),
inference(nnf_transformation,[],[f50]) ).
fof(f2364,plain,
( ~ spl72_356
| ~ spl72_286 ),
inference(avatar_split_clause,[],[f454,f2015,f2361]) ).
fof(f454,plain,
( ~ sP28
| e12 != op1(e13,op1(e13,e12)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f2348,plain,
( ~ spl72_353
| ~ spl72_15 ),
inference(avatar_split_clause,[],[f612,f787,f2345]) ).
fof(f612,plain,
( ~ sP67
| e21 != op2(op2(e21,e21),e21) ),
inference(cnf_transformation,[],[f142]) ).
fof(f2338,plain,
( spl72_351
| ~ spl72_332 ),
inference(avatar_split_clause,[],[f441,f2243,f2335]) ).
fof(f441,plain,
( ~ sP32
| e12 = op1(op1(e11,e12),e11) ),
inference(cnf_transformation,[],[f117]) ).
fof(f2333,plain,
( ~ spl72_244
| ~ spl72_243 ),
inference(avatar_split_clause,[],[f425,f1812,f1816]) ).
fof(f1812,plain,
( spl72_243
<=> e11 = op1(op1(e11,e11),e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_243])]) ).
fof(f425,plain,
( e11 != op1(op1(e11,e11),e11)
| ~ sP37 ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( ( e11 != op1(e11,op1(e11,e11))
& e11 = op1(op1(e11,e11),e11)
& e11 != op1(op1(e11,e11),e11) )
| ~ sP37 ),
inference(nnf_transformation,[],[f59]) ).
fof(f2317,plain,
( spl72_347
| ~ spl72_4 ),
inference(avatar_split_clause,[],[f639,f743,f2314]) ).
fof(f639,plain,
( ~ sP58
| e20 = op2(op2(e23,e20),e23) ),
inference(cnf_transformation,[],[f151]) ).
fof(f2312,plain,
( spl72_312
| spl72_318
| spl72_345
| spl72_346 ),
inference(avatar_split_clause,[],[f588,f2309,f2305,f2176,f2145]) ).
fof(f588,plain,
( e10 = op1(e12,e11)
| e10 = op1(e13,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2303,plain,
( ~ spl72_344
| ~ spl72_5 ),
inference(avatar_split_clause,[],[f624,f747,f2300]) ).
fof(f624,plain,
( ~ sP63
| e22 != op2(e23,op2(e23,e22)) ),
inference(cnf_transformation,[],[f146]) ).
fof(f2298,plain,
( ~ spl72_343
| ~ spl72_143 ),
inference(avatar_split_clause,[],[f653,f1350,f2295]) ).
fof(f1350,plain,
( spl72_143
<=> sP55 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_143])]) ).
fof(f653,plain,
( ~ sP55
| e22 != op2(e22,op2(e23,e23)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( e22 != op2(e22,op2(e23,e23))
& e23 != op2(e23,op2(e23,e23))
& op2(e23,e23) = op2(e23,e23)
& e21 != op2(e21,op2(e23,e23))
& e20 != op2(e20,op2(e23,e23)) )
| ~ sP55 ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e22 != op2(e22,op2(e23,e23))
& e23 != op2(e23,op2(e23,e23))
& op2(e23,e23) = op2(e23,e23)
& e21 != op2(e21,op2(e23,e23))
& e20 != op2(e20,op2(e23,e23)) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f2260,plain,
( ~ spl72_98
| ~ spl72_335 ),
inference(avatar_split_clause,[],[f196,f2257,f1154]) ).
fof(f196,plain,
( e23 != h1(e13)
| ~ sP11 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e13)
& e23 != h1(e10) )
| ~ sP11 ),
inference(nnf_transformation,[],[f32]) ).
fof(f2255,plain,
( ~ spl72_333
| spl72_334 ),
inference(avatar_split_clause,[],[f504,f2252,f2248]) ).
fof(f504,plain,
( op1(e10,e13) = op1(e13,e10)
| ~ sP17 ),
inference(cnf_transformation,[],[f132]) ).
fof(f2217,plain,
( ~ spl72_325
| ~ spl72_323 ),
inference(avatar_split_clause,[],[f493,f2204,f2214]) ).
fof(f493,plain,
( ~ sP19
| e10 != op1(e10,op1(e13,e12)) ),
inference(cnf_transformation,[],[f130]) ).
fof(f2212,plain,
( ~ spl72_324
| ~ spl72_8 ),
inference(avatar_split_clause,[],[f633,f759,f2209]) ).
fof(f759,plain,
( spl72_8
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_8])]) ).
fof(f633,plain,
( ~ sP60
| e21 != op2(op2(e21,e23),e23) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ( e23 != op2(e21,op2(e21,e23))
& e21 != op2(op2(e21,e23),e23)
& e23 = op2(op2(e21,e23),e21) )
| ~ sP60 ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e23 != op2(e21,op2(e21,e23))
& e21 != op2(op2(e21,e23),e23)
& e23 = op2(op2(e21,e23),e21) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f2179,plain,
( spl72_269
| spl72_87
| spl72_317
| spl72_318 ),
inference(avatar_split_clause,[],[f597,f2176,f2172,f1098,f1934]) ).
fof(f597,plain,
( e10 = op1(e11,e11)
| e10 = op1(e11,e10)
| e10 = op1(e11,e13)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2160,plain,
( spl72_274
| spl72_151
| spl72_226
| spl72_229 ),
inference(avatar_split_clause,[],[f314,f1741,f1726,f1384,f1957]) ).
fof(f314,plain,
( e20 = op2(e22,e20)
| e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2154,plain,
( ~ spl72_144
| ~ spl72_313 ),
inference(avatar_split_clause,[],[f2149,f2151,f1354]) ).
fof(f1354,plain,
( spl72_144
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_144])]) ).
fof(f2149,plain,
( e20 != op2(e20,h1(e13))
| ~ sP42 ),
inference(forward_demodulation,[],[f718,f925]) ).
fof(f718,plain,
( ~ sP42
| e20 != op2(e20,op2(e20,e21)) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ( e20 != op2(e20,op2(e20,e21))
& e23 != op2(e23,op2(e20,e21))
& op2(e20,e21) = op2(e21,e20)
& e22 != op2(e22,op2(e20,e21))
& e21 != op2(e21,op2(e20,e21)) )
| ~ sP42 ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e20 != op2(e20,op2(e20,e21))
& e23 != op2(e23,op2(e20,e21))
& op2(e20,e21) = op2(e21,e20)
& e22 != op2(e22,op2(e20,e21))
& e21 != op2(e21,op2(e20,e21)) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f2148,plain,
( spl72_310
| spl72_311
| spl72_90
| spl72_312 ),
inference(avatar_split_clause,[],[f598,f2145,f1110,f2141,f2137]) ).
fof(f598,plain,
( e10 = op1(e10,e11)
| e10 = op1(e10,e13)
| e10 = op1(e10,e10)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2135,plain,
( spl72_188
| spl72_308
| spl72_299
| spl72_309 ),
inference(avatar_split_clause,[],[f592,f2132,f2082,f2128,f1556]) ).
fof(f592,plain,
( e13 = op1(e11,e13)
| e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2112,plain,
( ~ spl72_271
| ~ spl72_270 ),
inference(avatar_split_clause,[],[f435,f1939,f1943]) ).
fof(f1943,plain,
( spl72_271
<=> e10 = op1(op1(e10,e10),e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_271])]) ).
fof(f435,plain,
( ~ sP34
| e10 != op1(op1(e10,e10),e10) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( e10 != op1(e10,op1(e10,e10))
& e10 != op1(op1(e10,e10),e10)
& e10 = op1(op1(e10,e10),e10) )
| ~ sP34 ),
inference(nnf_transformation,[],[f56]) ).
fof(f2111,plain,
( spl72_304
| spl72_191
| spl72_274
| spl72_238 ),
inference(avatar_split_clause,[],[f2106,f1786,f1957,f1569,f2108]) ).
fof(f2106,plain,
( e20 = op2(e21,e21)
| e20 = op2(e22,e21)
| e20 = op2(e23,e21)
| e20 = h1(e13) ),
inference(forward_demodulation,[],[f321,f925]) ).
fof(f321,plain,
( e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21)
| e20 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2085,plain,
( spl72_203
| spl72_299
| spl72_166
| spl72_258 ),
inference(avatar_split_clause,[],[f589,f1886,f1452,f2082,f1624]) ).
fof(f589,plain,
( e13 = op1(e13,e12)
| e13 = op1(e13,e10)
| e13 = op1(e13,e13)
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2079,plain,
( spl72_234
| spl72_49
| spl72_298
| spl72_232 ),
inference(avatar_split_clause,[],[f327,f1756,f2076,f932,f1769]) ).
fof(f327,plain,
( e21 = op2(e21,e21)
| e21 = op2(e21,e22)
| e21 = op2(e21,e23)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2074,plain,
( ~ spl72_171
| ~ spl72_297 ),
inference(avatar_split_clause,[],[f498,f2071,f1476]) ).
fof(f498,plain,
( e12 != op1(e12,op1(e13,e11))
| ~ sP18 ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ( e13 != op1(e13,op1(e13,e11))
& e10 != op1(e10,op1(e13,e11))
& e11 != op1(e11,op1(e13,e11))
& op1(e11,e13) = op1(e13,e11)
& e12 != op1(e12,op1(e13,e11)) )
| ~ sP18 ),
inference(nnf_transformation,[],[f40]) ).
fof(f2069,plain,
( ~ spl72_8
| spl72_296 ),
inference(avatar_split_clause,[],[f632,f2066,f759]) ).
fof(f632,plain,
( e23 = op2(op2(e21,e23),e21)
| ~ sP60 ),
inference(cnf_transformation,[],[f149]) ).
fof(f2064,plain,
( ~ spl72_295
| ~ spl72_139 ),
inference(avatar_split_clause,[],[f701,f1334,f2061]) ).
fof(f1334,plain,
( spl72_139
<=> sP45 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_139])]) ).
fof(f701,plain,
( ~ sP45
| e20 != op2(e20,op2(e21,e22)) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
( ( e22 != op2(e22,op2(e21,e22))
& e23 != op2(e23,op2(e21,e22))
& e20 != op2(e20,op2(e21,e22))
& op2(e21,e22) = op2(e22,e21)
& e21 != op2(e21,op2(e21,e22)) )
| ~ sP45 ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e22 != op2(e22,op2(e21,e22))
& e23 != op2(e23,op2(e21,e22))
& e20 != op2(e20,op2(e21,e22))
& op2(e21,e22) = op2(e22,e21)
& e21 != op2(e21,op2(e21,e22)) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f2054,plain,
( ~ spl72_143
| ~ spl72_293 ),
inference(avatar_split_clause,[],[f649,f2051,f1350]) ).
fof(f649,plain,
( e20 != op2(e20,op2(e23,e23))
| ~ sP55 ),
inference(cnf_transformation,[],[f154]) ).
fof(f2044,plain,
( ~ spl72_6
| spl72_4
| spl72_16
| spl72_15
| spl72_1
| spl72_9
| spl72_10
| spl72_13
| spl72_7
| spl72_3
| spl72_14
| spl72_12
| spl72_8
| spl72_2
| spl72_5
| spl72_11 ),
inference(avatar_split_clause,[],[f724,f771,f747,f735,f759,f775,f783,f739,f755,f779,f767,f763,f731,f787,f791,f743,f751]) ).
fof(f751,plain,
( spl72_6
<=> e23 = op2(op2(e23,e23),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_6])]) ).
fof(f763,plain,
( spl72_9
<=> sP69 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_9])]) ).
fof(f724,plain,
( sP59
| sP63
| sP70
| sP60
| sP64
| sP66
| sP71
| sP62
| sP61
| sP68
| sP69
| sP65
| sP67
| sP57
| sP58
| e23 != op2(op2(e23,e23),e23) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( ( e23 = op2(op2(e23,e23),e23)
& e23 != op2(e23,op2(e23,e23))
& e23 != op2(op2(e23,e23),e23) )
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57 )
& ( ( e20 != op2(e20,op2(e21,e23))
& e21 != op2(e21,op2(e21,e23))
& e23 != op2(e23,op2(e21,e23))
& op2(e21,e23) = op2(e23,e21)
& e22 != op2(e22,op2(e21,e23)) )
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42 ) ),
inference(definition_folding,[],[f11,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65]) ).
fof(f71,plain,
( ( op2(e20,e23) = op2(e23,e20)
& e22 != op2(e22,op2(e20,e23))
& e21 != op2(e21,op2(e20,e23))
& e23 != op2(e23,op2(e20,e23))
& e20 != op2(e20,op2(e20,e23)) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f73,plain,
( ( op2(e20,e22) = op2(e22,e20)
& e22 != op2(e22,op2(e20,e22))
& e21 != op2(e21,op2(e20,e22))
& e20 != op2(e20,op2(e20,e22))
& e23 != op2(e23,op2(e20,e22)) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f75,plain,
( ( e22 != op2(e22,op2(e22,e20))
& e21 != op2(e21,op2(e22,e20))
& op2(e20,e22) = op2(e22,e20)
& e20 != op2(e20,op2(e22,e20))
& e23 != op2(e23,op2(e22,e20)) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f76,plain,
( ( e22 != op2(e22,op2(e20,e20))
& op2(e20,e20) = op2(e20,e20)
& e20 != op2(e20,op2(e20,e20))
& e23 != op2(e23,op2(e20,e20))
& e21 != op2(e21,op2(e20,e20)) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f77,plain,
( ( e20 != op2(e20,op2(e23,e20))
& e21 != op2(e21,op2(e23,e20))
& e22 != op2(e22,op2(e23,e20))
& e23 != op2(e23,op2(e23,e20))
& op2(e20,e23) = op2(e23,e20) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f92,plain,
( ( e21 = op2(op2(e22,e21),e22)
& e21 != op2(e22,op2(e22,e21))
& e22 != op2(op2(e22,e21),e21) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f11,axiom,
( ( ( e23 = op2(op2(e23,e23),e23)
& e23 != op2(e23,op2(e23,e23))
& e23 != op2(op2(e23,e23),e23) )
| ( e23 != op2(e20,op2(e20,e23))
& e20 != op2(op2(e20,e23),e23)
& e23 = op2(op2(e20,e23),e20) )
| ( e21 != op2(op2(e21,e22),e22)
& e22 != op2(e21,op2(e21,e22))
& e22 = op2(op2(e21,e22),e21) )
| ( e21 = op2(op2(e22,e21),e22)
& e21 != op2(e22,op2(e22,e21))
& e22 != op2(op2(e22,e21),e21) )
| ( e20 = op2(op2(e21,e20),e21)
& e20 != op2(e21,op2(e21,e20))
& e21 != op2(op2(e21,e20),e20) )
| ( e21 = op2(op2(e21,e21),e21)
& e21 != op2(op2(e21,e21),e21)
& e21 != op2(e21,op2(e21,e21)) )
| ( e23 = op2(op2(e22,e23),e22)
& e23 != op2(e22,op2(e22,e23))
& e22 != op2(op2(e22,e23),e23) )
| ( e21 = op2(op2(e23,e21),e23)
& e21 != op2(e23,op2(e23,e21))
& e23 != op2(op2(e23,e21),e21) )
| ( e22 = op2(op2(e22,e22),e22)
& e22 != op2(op2(e22,e22),e22)
& e22 != op2(e22,op2(e22,e22)) )
| ( e23 != op2(op2(e23,e22),e22)
& e22 != op2(e23,op2(e23,e22))
& e22 = op2(op2(e23,e22),e23) )
| ( e20 != op2(e20,op2(e20,e20))
& e20 = op2(op2(e20,e20),e20)
& e20 != op2(op2(e20,e20),e20) )
| ( e20 = op2(op2(e22,e20),e22)
& e20 != op2(e22,op2(e22,e20))
& e22 != op2(op2(e22,e20),e20) )
| ( e23 != op2(e21,op2(e21,e23))
& e21 != op2(op2(e21,e23),e23)
& e23 = op2(op2(e21,e23),e21) )
| ( e20 != op2(op2(e20,e21),e21)
& e21 = op2(op2(e20,e21),e20)
& e21 != op2(e20,op2(e20,e21)) )
| ( e20 != op2(e23,op2(e23,e20))
& e20 = op2(op2(e23,e20),e23)
& e23 != op2(op2(e23,e20),e20) )
| ( e20 != op2(op2(e20,e22),e22)
& e22 != op2(e20,op2(e20,e22))
& e22 = op2(op2(e20,e22),e20) ) )
& ( ( e20 != op2(e20,op2(e21,e23))
& e21 != op2(e21,op2(e21,e23))
& e23 != op2(e23,op2(e21,e23))
& op2(e21,e23) = op2(e23,e21)
& e22 != op2(e22,op2(e21,e23)) )
| ( e23 != op2(e23,op2(e22,e23))
& op2(e22,e23) = op2(e23,e22)
& e21 != op2(e21,op2(e22,e23))
& e22 != op2(e22,op2(e22,e23))
& e20 != op2(e20,op2(e22,e23)) )
| ( e22 != op2(e22,op2(e23,e23))
& e23 != op2(e23,op2(e23,e23))
& op2(e23,e23) = op2(e23,e23)
& e21 != op2(e21,op2(e23,e23))
& e20 != op2(e20,op2(e23,e23)) )
| ( e20 != op2(e20,op2(e23,e20))
& e21 != op2(e21,op2(e23,e20))
& e22 != op2(e22,op2(e23,e20))
& e23 != op2(e23,op2(e23,e20))
& op2(e20,e23) = op2(e23,e20) )
| ( e22 != op2(e22,op2(e20,e20))
& op2(e20,e20) = op2(e20,e20)
& e20 != op2(e20,op2(e20,e20))
& e23 != op2(e23,op2(e20,e20))
& e21 != op2(e21,op2(e20,e20)) )
| ( e22 != op2(e22,op2(e22,e20))
& e21 != op2(e21,op2(e22,e20))
& op2(e20,e22) = op2(e22,e20)
& e20 != op2(e20,op2(e22,e20))
& e23 != op2(e23,op2(e22,e20)) )
| ( e22 != op2(e22,op2(e23,e21))
& e23 != op2(e23,op2(e23,e21))
& e20 != op2(e20,op2(e23,e21))
& op2(e21,e23) = op2(e23,e21)
& e21 != op2(e21,op2(e23,e21)) )
| ( op2(e20,e22) = op2(e22,e20)
& e22 != op2(e22,op2(e20,e22))
& e21 != op2(e21,op2(e20,e22))
& e20 != op2(e20,op2(e20,e22))
& e23 != op2(e23,op2(e20,e22)) )
| ( e20 != op2(e20,op2(e23,e22))
& e21 != op2(e21,op2(e23,e22))
& e22 != op2(e22,op2(e23,e22))
& op2(e22,e23) = op2(e23,e22)
& e23 != op2(e23,op2(e23,e22)) )
| ( op2(e20,e23) = op2(e23,e20)
& e22 != op2(e22,op2(e20,e23))
& e21 != op2(e21,op2(e20,e23))
& e23 != op2(e23,op2(e20,e23))
& e20 != op2(e20,op2(e20,e23)) )
| ( e22 != op2(e22,op2(e21,e20))
& e20 != op2(e20,op2(e21,e20))
& e21 != op2(e21,op2(e21,e20))
& op2(e20,e21) = op2(e21,e20)
& e23 != op2(e23,op2(e21,e20)) )
| ( e20 != op2(e20,op2(e21,e21))
& e21 != op2(e21,op2(e21,e21))
& e22 != op2(e22,op2(e21,e21))
& op2(e21,e21) = op2(e21,e21)
& e23 != op2(e23,op2(e21,e21)) )
| ( e22 != op2(e22,op2(e21,e22))
& e23 != op2(e23,op2(e21,e22))
& e20 != op2(e20,op2(e21,e22))
& op2(e21,e22) = op2(e22,e21)
& e21 != op2(e21,op2(e21,e22)) )
| ( e20 != op2(e20,op2(e22,e22))
& e21 != op2(e21,op2(e22,e22))
& e23 != op2(e23,op2(e22,e22))
& e22 != op2(e22,op2(e22,e22))
& op2(e22,e22) = op2(e22,e22) )
| ( e20 != op2(e20,op2(e22,e21))
& e23 != op2(e23,op2(e22,e21))
& e22 != op2(e22,op2(e22,e21))
& e21 != op2(e21,op2(e22,e21))
& op2(e21,e22) = op2(e22,e21) )
| ( e20 != op2(e20,op2(e20,e21))
& e23 != op2(e23,op2(e20,e21))
& op2(e20,e21) = op2(e21,e20)
& e22 != op2(e22,op2(e20,e21))
& e21 != op2(e21,op2(e20,e21)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f2033,plain,
( spl72_17
| ~ spl72_45 ),
inference(avatar_split_clause,[],[f678,f912,f796]) ).
fof(f912,plain,
( spl72_45
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_45])]) ).
fof(f678,plain,
( ~ sP50
| op2(e20,e22) = op2(e22,e20) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
( ( op2(e20,e22) = op2(e22,e20)
& e22 != op2(e22,op2(e20,e22))
& e21 != op2(e21,op2(e20,e22))
& e20 != op2(e20,op2(e20,e22))
& e23 != op2(e23,op2(e20,e22)) )
| ~ sP50 ),
inference(nnf_transformation,[],[f73]) ).
fof(f2018,plain,
( spl72_285
| ~ spl72_286 ),
inference(avatar_split_clause,[],[f453,f2015,f2011]) ).
fof(f453,plain,
( ~ sP28
| e12 = op1(op1(e13,e12),e13) ),
inference(cnf_transformation,[],[f121]) ).
fof(f2009,plain,
( ~ spl72_123
| spl72_284 ),
inference(avatar_split_clause,[],[f431,f2006,f1259]) ).
fof(f431,plain,
( e12 = op1(op1(e12,e12),e12)
| ~ sP35 ),
inference(cnf_transformation,[],[f114]) ).
fof(f1999,plain,
( ~ spl72_281
| ~ spl72_282 ),
inference(avatar_split_clause,[],[f450,f1996,f1992]) ).
fof(f450,plain,
( e10 != op1(e12,op1(e12,e10))
| ~ sP29 ),
inference(cnf_transformation,[],[f120]) ).
fof(f1965,plain,
( ~ spl72_275
| ~ spl72_14 ),
inference(avatar_split_clause,[],[f615,f783,f1962]) ).
fof(f615,plain,
( ~ sP66
| e23 != op2(e22,op2(e22,e23)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f1946,plain,
( ~ spl72_270
| spl72_271 ),
inference(avatar_split_clause,[],[f434,f1943,f1939]) ).
fof(f434,plain,
( e10 = op1(op1(e10,e10),e10)
| ~ sP34 ),
inference(cnf_transformation,[],[f115]) ).
fof(f1923,plain,
( spl72_263
| spl72_264
| spl72_265
| spl72_266 ),
inference(avatar_split_clause,[],[f569,f1920,f1916,f1912,f1908]) ).
fof(f569,plain,
( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e10)
| e11 = op1(e12,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1906,plain,
( ~ spl72_261
| ~ spl72_262 ),
inference(avatar_split_clause,[],[f421,f1903,f1899]) ).
fof(f421,plain,
( e13 != op1(op1(e13,e13),e13)
| ~ sP39 ),
inference(cnf_transformation,[],[f110]) ).
fof(f1897,plain,
( spl72_258
| spl72_259
| spl72_260
| spl72_186 ),
inference(avatar_split_clause,[],[f594,f1548,f1894,f1890,f1886]) ).
fof(f594,plain,
( e13 = op1(e10,e12)
| e13 = op1(e11,e12)
| e13 = op1(e12,e12)
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1884,plain,
( ~ spl72_139
| ~ spl72_257 ),
inference(avatar_split_clause,[],[f699,f1881,f1334]) ).
fof(f699,plain,
( e21 != op2(e21,op2(e21,e22))
| ~ sP45 ),
inference(cnf_transformation,[],[f164]) ).
fof(f1841,plain,
( ~ spl72_138
| ~ spl72_150 ),
inference(avatar_split_clause,[],[f1840,f1380,f1330]) ).
fof(f1330,plain,
( spl72_138
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_138])]) ).
fof(f1840,plain,
( e22 != op2(e22,e22)
| ~ sP53 ),
inference(forward_demodulation,[],[f663,f728]) ).
fof(f663,plain,
( ~ sP53
| e22 != op2(e22,op2(e20,e20)) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
( ( e22 != op2(e22,op2(e20,e20))
& op2(e20,e20) = op2(e20,e20)
& e20 != op2(e20,op2(e20,e20))
& e23 != op2(e23,op2(e20,e20))
& e21 != op2(e21,op2(e20,e20)) )
| ~ sP53 ),
inference(nnf_transformation,[],[f76]) ).
fof(f1824,plain,
( ~ spl72_245
| ~ spl72_8 ),
inference(avatar_split_clause,[],[f634,f759,f1821]) ).
fof(f634,plain,
( ~ sP60
| e23 != op2(e21,op2(e21,e23)) ),
inference(cnf_transformation,[],[f149]) ).
fof(f1819,plain,
( spl72_243
| ~ spl72_244 ),
inference(avatar_split_clause,[],[f426,f1816,f1812]) ).
fof(f426,plain,
( ~ sP37
| e11 = op1(op1(e11,e11),e11) ),
inference(cnf_transformation,[],[f112]) ).
fof(f1810,plain,
( spl72_129
| ~ spl72_147 ),
inference(avatar_split_clause,[],[f688,f1366,f1287]) ).
fof(f1366,plain,
( spl72_147
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_147])]) ).
fof(f688,plain,
( ~ sP48
| op2(e20,e23) = op2(e23,e20) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
( ( op2(e20,e23) = op2(e23,e20)
& e22 != op2(e22,op2(e20,e23))
& e21 != op2(e21,op2(e20,e23))
& e23 != op2(e23,op2(e20,e23))
& e20 != op2(e20,op2(e20,e23)) )
| ~ sP48 ),
inference(nnf_transformation,[],[f71]) ).
fof(f1799,plain,
( spl72_239
| ~ spl72_240 ),
inference(avatar_split_clause,[],[f443,f1796,f1792]) ).
fof(f443,plain,
( ~ sP31
| e10 = op1(op1(e11,e10),e11) ),
inference(cnf_transformation,[],[f118]) ).
fof(f1790,plain,
( spl72_18
| spl72_138
| spl72_146
| spl72_139
| spl72_144
| spl72_57
| spl72_95
| spl72_141
| spl72_145
| spl72_93
| spl72_45
| spl72_143
| spl72_155
| spl72_56
| spl72_147
| spl72_140 ),
inference(avatar_split_clause,[],[f720,f1338,f1366,f965,f1402,f1350,f912,f1125,f1358,f1342,f1134,f970,f1354,f1334,f1362,f1330,f800]) ).
fof(f800,plain,
( spl72_18
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_18])]) ).
fof(f1125,plain,
( spl72_93
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_93])]) ).
fof(f720,plain,
( sP47
| sP48
| sP51
| op2(e21,e23) = op2(e23,e21)
| sP55
| sP50
| sP54
| sP46
| sP49
| sP43
| sP44
| sP42
| sP45
| sP56
| sP53
| sP52 ),
inference(cnf_transformation,[],[f95]) ).
fof(f1789,plain,
( spl72_237
| spl72_228
| spl72_48
| spl72_238 ),
inference(avatar_split_clause,[],[f324,f1786,f928,f1737,f1782]) ).
fof(f324,plain,
( e20 = op2(e21,e21)
| e20 = op2(e21,e23)
| e20 = op2(e21,e20)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1780,plain,
( spl72_234
| spl72_170
| spl72_235
| spl72_236 ),
inference(avatar_split_clause,[],[f1767,f1777,f1773,f1471,f1769]) ).
fof(f1767,plain,
( e21 = op2(e23,e20)
| e21 = e22
| e21 = op2(e22,e20)
| e21 = op2(e21,e20) ),
inference(forward_demodulation,[],[f316,f728]) ).
fof(f316,plain,
( e21 = op2(e23,e20)
| e21 = op2(e21,e20)
| e21 = op2(e22,e20)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f1764,plain,
( spl72_62
| spl72_152
| spl72_225
| spl72_233 ),
inference(avatar_split_clause,[],[f312,f1761,f1722,f1388,f991]) ).
fof(f312,plain,
( e23 = op2(e22,e21)
| e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1759,plain,
( spl72_127
| spl72_231
| spl72_168
| spl72_232 ),
inference(avatar_split_clause,[],[f1750,f1756,f1463,f1752,f1278]) ).
fof(f1750,plain,
( e21 = op2(e21,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21)
| e21 = h1(e13) ),
inference(forward_demodulation,[],[f311,f925]) ).
fof(f311,plain,
( e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21)
| e21 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1744,plain,
( spl72_228
| spl72_190
| spl72_229 ),
inference(avatar_split_clause,[],[f1735,f1741,f1565,f1737]) ).
fof(f1735,plain,
( e20 = op2(e22,e20)
| e20 = op2(e23,e20)
| e20 = op2(e21,e20) ),
inference(subsumption_resolution,[],[f1734,f548]) ).
fof(f1734,plain,
( e20 = op2(e21,e20)
| e20 = op2(e23,e20)
| e20 = e22
| e20 = op2(e22,e20) ),
inference(forward_demodulation,[],[f308,f728]) ).
fof(f308,plain,
( e20 = op2(e23,e20)
| e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1618,plain,
( spl72_201
| spl72_124
| spl72_161
| spl72_152 ),
inference(avatar_split_clause,[],[f337,f1388,f1430,f1264,f1615]) ).
fof(f337,plain,
( e23 = op2(e22,e22)
| e23 = op2(e23,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1604,plain,
( ~ spl72_13
| spl72_198 ),
inference(avatar_split_clause,[],[f631,f1601,f779]) ).
fof(f631,plain,
( e20 = op2(op2(e22,e20),e22)
| ~ sP61 ),
inference(cnf_transformation,[],[f148]) ).
fof(f1599,plain,
( spl72_117
| spl72_49
| spl72_197
| spl72_169 ),
inference(avatar_split_clause,[],[f315,f1467,f1596,f932,f1231]) ).
fof(f315,plain,
( e21 = op2(e22,e23)
| e21 = op2(e23,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1585,plain,
( spl72_192
| spl72_178
| spl72_193
| spl72_194 ),
inference(avatar_split_clause,[],[f583,f1582,f1578,f1508,f1574]) ).
fof(f583,plain,
( e12 = op1(e11,e12)
| e12 = op1(e11,e10)
| e12 = op1(e11,e13)
| e12 = op1(e11,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1572,plain,
( spl72_189
| spl72_190
| spl72_191
| spl72_159 ),
inference(avatar_split_clause,[],[f329,f1422,f1569,f1565,f1561]) ).
fof(f329,plain,
( e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1559,plain,
( spl72_186
| spl72_187
| spl72_164
| spl72_188 ),
inference(avatar_split_clause,[],[f576,f1556,f1444,f1552,f1548]) ).
fof(f576,plain,
( e13 = op1(e10,e13)
| op1(e10,e10) = e13
| e13 = op1(e10,e11)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1540,plain,
( ~ spl72_1
| ~ spl72_184 ),
inference(avatar_split_clause,[],[f618,f1537,f731]) ).
fof(f618,plain,
( e21 != op2(e23,op2(e23,e21))
| ~ sP65 ),
inference(cnf_transformation,[],[f144]) ).
fof(f1515,plain,
( spl72_176
| spl72_177
| spl72_178
| spl72_179 ),
inference(avatar_split_clause,[],[f595,f1512,f1508,f1504,f1500]) ).
fof(f595,plain,
( e12 = op1(e13,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1488,plain,
( ~ spl72_147
| ~ spl72_173 ),
inference(avatar_split_clause,[],[f686,f1485,f1366]) ).
fof(f686,plain,
( e21 != op2(e21,op2(e20,e23))
| ~ sP48 ),
inference(cnf_transformation,[],[f161]) ).
fof(f1483,plain,
( ~ spl72_171
| spl72_172 ),
inference(avatar_split_clause,[],[f499,f1480,f1476]) ).
fof(f499,plain,
( op1(e11,e13) = op1(e13,e11)
| ~ sP18 ),
inference(cnf_transformation,[],[f131]) ).
fof(f1474,plain,
( spl72_168
| spl72_169
| spl72_153
| spl72_170 ),
inference(avatar_split_clause,[],[f318,f1471,f1392,f1467,f1463]) ).
fof(f318,plain,
( e21 = op2(e22,e20)
| e21 = op2(e22,e22)
| e21 = op2(e22,e23)
| e21 = op2(e22,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1455,plain,
( spl72_163
| spl72_164
| spl72_165
| spl72_166 ),
inference(avatar_split_clause,[],[f567,f1452,f1448,f1444,f1440]) ).
fof(f567,plain,
( e13 = op1(e13,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13
| e13 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1438,plain,
( ~ spl72_12
| spl72_162 ),
inference(avatar_split_clause,[],[f622,f1435,f775]) ).
fof(f622,plain,
( e22 = op2(op2(e22,e22),e22)
| ~ sP64 ),
inference(cnf_transformation,[],[f145]) ).
fof(f1411,plain,
( spl72_156
| ~ spl72_11 ),
inference(avatar_split_clause,[],[f1406,f771,f1408]) ).
fof(f1406,plain,
( ~ sP59
| e21 = op2(h1(e13),e20) ),
inference(forward_demodulation,[],[f636,f925]) ).
fof(f636,plain,
( ~ sP59
| e21 = op2(op2(e20,e21),e20) ),
inference(cnf_transformation,[],[f150]) ).
fof(f1405,plain,
( spl72_155
| ~ spl72_56 ),
inference(avatar_split_clause,[],[f670,f965,f1402]) ).
fof(f670,plain,
( ~ sP51
| op2(e21,e23) = op2(e23,e21) ),
inference(cnf_transformation,[],[f158]) ).
fof(f1395,plain,
( spl72_150
| spl72_151
| spl72_152
| spl72_153 ),
inference(avatar_split_clause,[],[f552,f1392,f1388,f1384,f1380]) ).
fof(f552,plain,
( e21 = op2(e22,e22)
| e23 = op2(e22,e22)
| e20 = op2(e22,e22)
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1369,plain,
( spl72_57
| spl72_138
| spl72_95
| spl72_139
| spl72_18
| spl72_93
| spl72_140
| spl72_141
| spl72_56
| ~ spl72_142
| spl72_45
| spl72_143
| spl72_144
| spl72_145
| spl72_146
| spl72_147 ),
inference(avatar_split_clause,[],[f719,f1366,f1362,f1358,f1354,f1350,f912,f1346,f965,f1342,f1338,f1125,f800,f1334,f1134,f1330,f970]) ).
fof(f719,plain,
( sP48
| sP56
| sP46
| sP42
| sP55
| sP50
| e22 != op2(e22,op2(e21,e23))
| sP51
| sP49
| sP47
| sP54
| sP52
| sP45
| sP43
| sP53
| sP44 ),
inference(cnf_transformation,[],[f95]) ).
fof(f1328,plain,
( ~ spl72_9
| ~ spl72_137 ),
inference(avatar_split_clause,[],[f606,f1325,f763]) ).
fof(f606,plain,
( e21 != op2(e22,op2(e22,e21))
| ~ sP69 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ( e21 = op2(op2(e22,e21),e22)
& e21 != op2(e22,op2(e22,e21))
& e22 != op2(op2(e22,e21),e21) )
| ~ sP69 ),
inference(nnf_transformation,[],[f92]) ).
fof(f1323,plain,
( ~ spl72_9
| spl72_136 ),
inference(avatar_split_clause,[],[f607,f1320,f763]) ).
fof(f607,plain,
( e21 = op2(op2(e22,e21),e22)
| ~ sP69 ),
inference(cnf_transformation,[],[f140]) ).
fof(f1308,plain,
( ~ spl72_132
| ~ spl72_133 ),
inference(avatar_split_clause,[],[f418,f1305,f1301]) ).
fof(f418,plain,
( ~ sP40
| e12 != op1(op1(e12,e13),e13) ),
inference(cnf_transformation,[],[f109]) ).
fof(f1299,plain,
( ~ spl72_130
| ~ spl72_131 ),
inference(avatar_split_clause,[],[f520,f1296,f1292]) ).
fof(f520,plain,
( ~ sP14
| e10 != op1(e10,op1(e11,e13)) ),
inference(cnf_transformation,[],[f135]) ).
fof(f1290,plain,
( spl72_129
| ~ spl72_93 ),
inference(avatar_split_clause,[],[f654,f1125,f1287]) ).
fof(f654,plain,
( ~ sP54
| op2(e20,e23) = op2(e23,e20) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( ( e20 != op2(e20,op2(e23,e20))
& e21 != op2(e21,op2(e23,e20))
& e22 != op2(e22,op2(e23,e20))
& e23 != op2(e23,op2(e23,e20))
& op2(e20,e23) = op2(e23,e20) )
| ~ sP54 ),
inference(nnf_transformation,[],[f77]) ).
fof(f1271,plain,
( spl72_124
| spl72_125
| spl72_50
| spl72_59 ),
inference(avatar_split_clause,[],[f332,f979,f936,f1268,f1264]) ).
fof(f332,plain,
( e23 = op2(e21,e20)
| e23 = op2(e21,e23)
| e23 = op2(e21,e21)
| e23 = op2(e21,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1262,plain,
( ~ spl72_122
| ~ spl72_123 ),
inference(avatar_split_clause,[],[f433,f1259,f1255]) ).
fof(f433,plain,
( ~ sP35
| e12 != op1(e12,op1(e12,e12)) ),
inference(cnf_transformation,[],[f114]) ).
fof(f1253,plain,
( ~ spl72_112
| ~ spl72_121 ),
inference(avatar_split_clause,[],[f206,f1250,f1210]) ).
fof(f206,plain,
( e20 != h1(e10)
| ~ sP9 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e20 != h1(e10)
& e20 != h1(e12)
& e20 != h1(e13)
& e20 != h1(e11) )
| ~ sP9 ),
inference(nnf_transformation,[],[f30]) ).
fof(f1248,plain,
( ~ spl72_14
| ~ spl72_120 ),
inference(avatar_split_clause,[],[f614,f1245,f783]) ).
fof(f614,plain,
( e22 != op2(op2(e22,e23),e23)
| ~ sP66 ),
inference(cnf_transformation,[],[f143]) ).
fof(f1243,plain,
( ~ spl72_119
| ~ spl72_45 ),
inference(avatar_split_clause,[],[f676,f912,f1240]) ).
fof(f676,plain,
( ~ sP50
| e21 != op2(e21,op2(e20,e22)) ),
inference(cnf_transformation,[],[f159]) ).
fof(f1128,plain,
( ~ spl72_92
| ~ spl72_93 ),
inference(avatar_split_clause,[],[f657,f1125,f1121]) ).
fof(f657,plain,
( ~ sP54
| e21 != op2(e21,op2(e23,e20)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f1004,plain,
~ spl72_52,
inference(avatar_split_clause,[],[f547,f946]) ).
fof(f547,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f994,plain,
( spl72_59
| spl72_60
| spl72_61
| spl72_62 ),
inference(avatar_split_clause,[],[f313,f991,f987,f983,f979]) ).
fof(f313,plain,
( e23 = op2(e22,e20)
| op2(e20,e20) = e23
| e23 = op2(e23,e20)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f959,plain,
( ~ spl72_54
| ~ spl72_4 ),
inference(avatar_split_clause,[],[f640,f743,f956]) ).
fof(f640,plain,
( ~ sP58
| e20 != op2(e23,op2(e23,e20)) ),
inference(cnf_transformation,[],[f151]) ).
fof(f820,plain,
( spl72_19
| spl72_20
| spl72_21
| spl72_22 ),
inference(avatar_split_clause,[],[f307,f817,f813,f809,f805]) ).
fof(f307,plain,
( e20 = op2(e20,e21)
| e20 = op2(e20,e20)
| e20 = op2(e20,e23)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f803,plain,
( spl72_17
| ~ spl72_18 ),
inference(avatar_split_clause,[],[f666,f800,f796]) ).
fof(f666,plain,
( ~ sP52
| op2(e20,e22) = op2(e22,e20) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( ( e22 != op2(e22,op2(e22,e20))
& e21 != op2(e21,op2(e22,e20))
& op2(e20,e22) = op2(e22,e20)
& e20 != op2(e20,op2(e22,e20))
& e23 != op2(e23,op2(e22,e20)) )
| ~ sP52 ),
inference(nnf_transformation,[],[f75]) ).
fof(f794,plain,
( spl72_1
| spl72_2
| spl72_3
| spl72_4
| spl72_5
| spl72_6
| spl72_7
| spl72_8
| spl72_9
| spl72_10
| spl72_11
| spl72_12
| spl72_13
| spl72_14
| spl72_15
| spl72_16 ),
inference(avatar_split_clause,[],[f726,f791,f787,f783,f779,f775,f771,f767,f763,f759,f755,f751,f747,f743,f739,f735,f731]) ).
fof(f726,plain,
( sP57
| sP67
| sP66
| sP61
| sP64
| sP59
| sP68
| sP69
| sP60
| sP62
| e23 = op2(op2(e23,e23),e23)
| sP63
| sP58
| sP71
| sP70
| sP65 ),
inference(cnf_transformation,[],[f95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG104+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 15:07:28 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.56 % (14297)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.56 % (14312)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.57 % (14305)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.57 % (14294)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.57 % (14299)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.58 % (14298)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.58 % (14290)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.58 % (14289)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.59 % (14302)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.59 % (14291)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.59 % (14288)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.59 % (14314)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.60 % (14304)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.60 % (14311)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.61 % (14309)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.61 % (14296)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.61 % (14296)Instruction limit reached!
% 0.21/0.61 % (14296)------------------------------
% 0.21/0.61 % (14296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.61 % (14296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.61 % (14296)Termination reason: Unknown
% 0.21/0.61 % (14296)Termination phase: shuffling
% 0.21/0.61
% 0.21/0.61 % (14296)Memory used [KB]: 1023
% 0.21/0.61 % (14296)Time elapsed: 0.003 s
% 0.21/0.61 % (14296)Instructions burned: 2 (million)
% 0.21/0.61 % (14296)------------------------------
% 0.21/0.61 % (14296)------------------------------
% 0.21/0.61 % (14303)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.61 % (14295)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.61 % (14315)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.61 % (14292)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.62 % (14317)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.62 % (14308)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.62 % (14307)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.62 % (14301)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.63 % (14293)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.63 % (14300)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.63 % (14316)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.92/0.63 % (14306)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.92/0.63 % (14310)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.92/0.64 % (14295)Instruction limit reached!
% 1.92/0.64 % (14295)------------------------------
% 1.92/0.64 % (14295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.64 % (14295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.64 % (14295)Termination reason: Unknown
% 1.92/0.64 % (14295)Termination phase: Clausification
% 1.92/0.64
% 1.92/0.64 % (14295)Memory used [KB]: 1279
% 1.92/0.64 % (14295)Time elapsed: 0.005 s
% 1.92/0.64 % (14295)Instructions burned: 7 (million)
% 1.92/0.64 % (14295)------------------------------
% 1.92/0.64 % (14295)------------------------------
% 1.92/0.64 % (14313)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.92/0.65 % (14294)Instruction limit reached!
% 1.92/0.65 % (14294)------------------------------
% 1.92/0.65 % (14294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.66 % (14297)Instruction limit reached!
% 2.24/0.66 % (14297)------------------------------
% 2.24/0.66 % (14297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.66 % (14305)Instruction limit reached!
% 2.32/0.66 % (14305)------------------------------
% 2.32/0.66 % (14305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.66 % (14297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.66 % (14297)Termination reason: Unknown
% 2.32/0.66 % (14297)Termination phase: Saturation
% 2.32/0.66
% 2.32/0.66 % (14297)Memory used [KB]: 1535
% 2.32/0.66 % (14297)Time elapsed: 0.037 s
% 2.32/0.66 % (14297)Instructions burned: 52 (million)
% 2.32/0.66 % (14297)------------------------------
% 2.32/0.66 % (14297)------------------------------
% 2.32/0.66 % (14305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.66 % (14305)Termination reason: Unknown
% 2.32/0.66 % (14305)Termination phase: Finite model building preprocessing
% 2.32/0.66
% 2.32/0.66 % (14305)Memory used [KB]: 2302
% 2.32/0.66 % (14305)Time elapsed: 0.038 s
% 2.32/0.66 % (14305)Instructions burned: 59 (million)
% 2.32/0.66 % (14305)------------------------------
% 2.32/0.66 % (14305)------------------------------
% 2.32/0.67 % (14294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.67 % (14294)Termination reason: Unknown
% 2.32/0.67 % (14294)Termination phase: Finite model building preprocessing
% 2.32/0.67
% 2.32/0.67 % (14294)Memory used [KB]: 2558
% 2.32/0.67 % (14294)Time elapsed: 0.033 s
% 2.32/0.67 % (14294)Instructions burned: 51 (million)
% 2.32/0.67 % (14294)------------------------------
% 2.32/0.67 % (14294)------------------------------
% 2.32/0.67 % (14289)Instruction limit reached!
% 2.32/0.67 % (14289)------------------------------
% 2.32/0.67 % (14289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.67 % (14289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.67 % (14289)Termination reason: Unknown
% 2.32/0.67 % (14289)Termination phase: Saturation
% 2.32/0.67
% 2.32/0.67 % (14289)Memory used [KB]: 7291
% 2.32/0.67 % (14289)Time elapsed: 0.044 s
% 2.32/0.67 % (14289)Instructions burned: 50 (million)
% 2.32/0.67 % (14289)------------------------------
% 2.32/0.67 % (14289)------------------------------
% 2.32/0.69 % (14290)Instruction limit reached!
% 2.32/0.69 % (14290)------------------------------
% 2.32/0.69 % (14290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.69 % (14290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.69 % (14290)Termination reason: Unknown
% 2.32/0.69 % (14290)Termination phase: Saturation
% 2.32/0.69
% 2.32/0.69 % (14290)Memory used [KB]: 1407
% 2.32/0.69 % (14290)Time elapsed: 0.028 s
% 2.32/0.69 % (14290)Instructions burned: 38 (million)
% 2.32/0.69 % (14290)------------------------------
% 2.32/0.69 % (14290)------------------------------
% 2.61/0.71 % (14291)Instruction limit reached!
% 2.61/0.71 % (14291)------------------------------
% 2.61/0.71 % (14291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.71 % (14291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.71 % (14291)Termination reason: Unknown
% 2.61/0.71 % (14291)Termination phase: Property scanning
% 2.61/0.71
% 2.61/0.71 % (14291)Memory used [KB]: 1791
% 2.61/0.71 % (14291)Time elapsed: 0.033 s
% 2.61/0.71 % (14291)Instructions burned: 51 (million)
% 2.61/0.71 % (14291)------------------------------
% 2.61/0.71 % (14291)------------------------------
% 2.61/0.72 % (14314)Instruction limit reached!
% 2.61/0.72 % (14314)------------------------------
% 2.61/0.72 % (14314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.72 % (14314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.72 % (14314)Termination reason: Unknown
% 2.61/0.72 % (14314)Termination phase: Saturation
% 2.61/0.72
% 2.61/0.72 % (14314)Memory used [KB]: 7291
% 2.61/0.72 % (14314)Time elapsed: 0.048 s
% 2.61/0.72 % (14314)Instructions burned: 68 (million)
% 2.61/0.72 % (14314)------------------------------
% 2.61/0.72 % (14314)------------------------------
% 2.61/0.74 % (14299)Instruction limit reached!
% 2.61/0.74 % (14299)------------------------------
% 2.61/0.74 % (14299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.74 % (14299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.74 % (14299)Termination reason: Unknown
% 2.61/0.74 % (14299)Termination phase: Saturation
% 2.61/0.74
% 2.61/0.74 % (14299)Memory used [KB]: 8187
% 2.61/0.74 % (14299)Time elapsed: 0.070 s
% 2.61/0.74 % (14299)Instructions burned: 100 (million)
% 2.61/0.74 % (14299)------------------------------
% 2.61/0.74 % (14299)------------------------------
% 2.61/0.74 % (14298)Instruction limit reached!
% 2.61/0.74 % (14298)------------------------------
% 2.61/0.74 % (14298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.61/0.74 % (14298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.61/0.74 % (14298)Termination reason: Unknown
% 2.61/0.74 % (14298)Termination phase: Saturation
% 2.61/0.74
% 2.61/0.74 % (14298)Memory used [KB]: 7547
% 2.61/0.74 % (14298)Time elapsed: 0.039 s
% 2.61/0.74 % (14298)Instructions burned: 50 (million)
% 2.61/0.74 % (14298)------------------------------
% 2.61/0.74 % (14298)------------------------------
% 2.86/0.75 % (14293)Instruction limit reached!
% 2.86/0.75 % (14293)------------------------------
% 2.86/0.75 % (14293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.75 % (14293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.75 % (14293)Termination reason: Unknown
% 2.86/0.75 % (14293)Termination phase: Saturation
% 2.86/0.75
% 2.86/0.75 % (14293)Memory used [KB]: 7547
% 2.86/0.75 % (14293)Time elapsed: 0.304 s
% 2.86/0.75 % (14293)Instructions burned: 48 (million)
% 2.86/0.75 % (14293)------------------------------
% 2.86/0.75 % (14293)------------------------------
% 2.86/0.75 % (14303)Instruction limit reached!
% 2.86/0.75 % (14303)------------------------------
% 2.86/0.75 % (14303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.75 % (14303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.75 % (14303)Termination reason: Unknown
% 2.86/0.75 % (14303)Termination phase: Saturation
% 2.86/0.75
% 2.86/0.75 % (14303)Memory used [KB]: 1918
% 2.86/0.75 % (14303)Time elapsed: 0.054 s
% 2.86/0.75 % (14303)Instructions burned: 75 (million)
% 2.86/0.75 % (14303)------------------------------
% 2.86/0.75 % (14303)------------------------------
% 2.86/0.75 % (14292)Instruction limit reached!
% 2.86/0.75 % (14292)------------------------------
% 2.86/0.75 % (14292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.75 % (14292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.75 % (14292)Termination reason: Unknown
% 2.86/0.75 % (14292)Termination phase: Saturation
% 2.86/0.75
% 2.86/0.75 % (14292)Memory used [KB]: 7036
% 2.86/0.75 % (14292)Time elapsed: 0.038 s
% 2.86/0.75 % (14292)Instructions burned: 51 (million)
% 2.86/0.75 % (14292)------------------------------
% 2.86/0.75 % (14292)------------------------------
% 2.86/0.76 % (14302)Instruction limit reached!
% 2.86/0.76 % (14302)------------------------------
% 2.86/0.76 % (14302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.76 % (14302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.76 % (14302)Termination reason: Unknown
% 2.86/0.76 % (14302)Termination phase: Saturation
% 2.86/0.76
% 2.86/0.76 % (14302)Memory used [KB]: 7291
% 2.86/0.76 % (14302)Time elapsed: 0.052 s
% 2.86/0.76 % (14302)Instructions burned: 68 (million)
% 2.86/0.76 % (14302)------------------------------
% 2.86/0.76 % (14302)------------------------------
% 2.86/0.77 % (14354)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.86/0.81 % (14353)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 2.86/0.82 % (14304)Instruction limit reached!
% 2.86/0.82 % (14304)------------------------------
% 2.86/0.82 % (14304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.86/0.82 % (14304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.86/0.82 % (14304)Termination reason: Unknown
% 2.86/0.82 % (14304)Termination phase: Saturation
% 2.86/0.82
% 2.86/0.82 % (14304)Memory used [KB]: 7675
% 2.86/0.82 % (14304)Time elapsed: 0.376 s
% 2.86/0.82 % (14304)Instructions burned: 99 (million)
% 2.86/0.82 % (14304)------------------------------
% 2.86/0.82 % (14304)------------------------------
% 3.27/0.85 % (14307)Instruction limit reached!
% 3.27/0.85 % (14307)------------------------------
% 3.27/0.85 % (14307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.27/0.85 % (14307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.27/0.85 % (14307)Termination reason: Unknown
% 3.27/0.85 % (14307)Termination phase: Saturation
% 3.27/0.85
% 3.27/0.85 % (14307)Memory used [KB]: 1791
% 3.27/0.85 % (14307)Time elapsed: 0.415 s
% 3.27/0.85 % (14307)Instructions burned: 101 (million)
% 3.27/0.85 % (14307)------------------------------
% 3.27/0.85 % (14307)------------------------------
% 3.27/0.85 TRYING [8]
% 3.27/0.86 % (14351)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.27/0.87 % (14306)Instruction limit reached!
% 3.27/0.87 % (14306)------------------------------
% 3.27/0.87 % (14306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.27/0.87 % (14306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.27/0.87 % (14306)Termination reason: Unknown
% 3.27/0.87 % (14306)Termination phase: Saturation
% 3.27/0.87
% 3.27/0.87 % (14306)Memory used [KB]: 8059
% 3.27/0.87 % (14306)Time elapsed: 0.074 s
% 3.27/0.87 % (14306)Instructions burned: 100 (million)
% 3.27/0.87 % (14306)------------------------------
% 3.27/0.87 % (14306)------------------------------
% 3.27/0.87 % (14300)Instruction limit reached!
% 3.27/0.87 % (14300)------------------------------
% 3.27/0.87 % (14300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.27/0.87 % (14300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.27/0.87 % (14300)Termination reason: Unknown
% 3.27/0.87 % (14300)Termination phase: Saturation
% 3.27/0.87
% 3.27/0.87 % (14300)Memory used [KB]: 8187
% 3.27/0.87 % (14300)Time elapsed: 0.438 s
% 3.27/0.87 % (14300)Instructions burned: 102 (million)
% 3.27/0.87 % (14300)------------------------------
% 3.27/0.87 % (14300)------------------------------
% 3.49/0.89 % (14352)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.49/0.90 % (14357)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.49/0.93 % (14350)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 3.67/0.95 % (14371)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 3.67/0.96 % (14301)Instruction limit reached!
% 3.67/0.96 % (14301)------------------------------
% 3.67/0.96 % (14301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.67/0.96 % (14301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.67/0.96 % (14301)Termination reason: Unknown
% 3.67/0.96 % (14301)Termination phase: Saturation
% 3.67/0.96
% 3.67/0.96 % (14301)Memory used [KB]: 8187
% 3.67/0.96 % (14301)Time elapsed: 0.528 s
% 3.67/0.96 % (14301)Instructions burned: 100 (million)
% 3.67/0.96 % (14301)------------------------------
% 3.67/0.96 % (14301)------------------------------
% 3.72/0.96 % (14354)First to succeed.
% 3.72/0.97 % (14352)Instruction limit reached!
% 3.72/0.97 % (14352)------------------------------
% 3.72/0.97 % (14352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.72/0.97 % (14352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.72/0.97 % (14352)Termination reason: Unknown
% 3.72/0.97 % (14352)Termination phase: Saturation
% 3.72/0.97
% 3.72/0.97 % (14352)Memory used [KB]: 7675
% 3.72/0.97 % (14352)Time elapsed: 0.252 s
% 3.72/0.97 % (14352)Instructions burned: 90 (million)
% 3.72/0.97 % (14352)------------------------------
% 3.72/0.97 % (14352)------------------------------
% 3.72/0.97 % (14367)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.72/1.00 % (14354)Refutation found. Thanks to Tanya!
% 3.72/1.00 % SZS status Theorem for theBenchmark
% 3.72/1.00 % SZS output start Proof for theBenchmark
% See solution above
% 4.20/1.02 % (14354)------------------------------
% 4.20/1.02 % (14354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.20/1.02 % (14354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.20/1.02 % (14354)Termination reason: Refutation
% 4.20/1.02
% 4.20/1.02 % (14354)Memory used [KB]: 10106
% 4.20/1.02 % (14354)Time elapsed: 0.272 s
% 4.20/1.02 % (14354)Instructions burned: 320 (million)
% 4.20/1.02 % (14354)------------------------------
% 4.20/1.02 % (14354)------------------------------
% 4.20/1.02 % (14287)Success in time 0.644 s
%------------------------------------------------------------------------------